Area of a Rectangle or Square - Pre-Algebra
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The area of the following rectangle is 
. Solve for 
.
The area of the following rectangle is
The area of a rectangle can be found by multiplying the length by the width.
The area of a rectangle can be found by multiplying the length by the width.
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Jessica's blanket is 12 square feet. Lisa has a blanket that is half the size of Jessica's blanket. Which of the following are possible dimensions of Lisa's blanket?
Jessica's blanket is 12 square feet. Lisa has a blanket that is half the size of Jessica's blanket. Which of the following are possible dimensions of Lisa's blanket?
The area of a rectangle if found by multiplying the length times the width. Here, we know that Lisa's blanket is half the area of Jessica's blanket. Since Jessica's blanket is 12 square feet, that means that Lisa's blanket must be 6 square feet.
The only length and width values that give us 6 square feet when multiplied by one another are 3 feet by 2 feet. This is therefore the correct answer.
The area of a rectangle if found by multiplying the length times the width. Here, we know that Lisa's blanket is half the area of Jessica's blanket. Since Jessica's blanket is 12 square feet, that means that Lisa's blanket must be 6 square feet.
The only length and width values that give us 6 square feet when multiplied by one another are 3 feet by 2 feet. This is therefore the correct answer.
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Betty needs to buy carpeting to cover her entire bedroom floor, which is 12 ft. long and 8 ft. wide. How much carpeting does she need to buy?
Betty needs to buy carpeting to cover her entire bedroom floor, which is 12 ft. long and 8 ft. wide. How much carpeting does she need to buy?
Remember to use the formula below to find area:
Since Betty needs carpeting to cover her floor, this problem asks you to find the area. This means you need to multiply length and width to find the area, which is given in square feet, since each foot of carpeting is not only one foot long, but also one foot wide (a square).
Step 1: plug in the numbers for length and width
Step 2: solve
Remember to use the formula below to find area:
Since Betty needs carpeting to cover her floor, this problem asks you to find the area. This means you need to multiply length and width to find the area, which is given in square feet, since each foot of carpeting is not only one foot long, but also one foot wide (a square).
Step 1: plug in the numbers for length and width
Step 2: solve
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Thompson High School wants to buy artificial turf for their practice soccer field. The field is 150 ft by 100 ft. How much turf should they buy?
Thompson High School wants to buy artificial turf for their practice soccer field. The field is 150 ft by 100 ft. How much turf should they buy?
Recall, the area of a rectangle = length x width
Next, plug in the two values given in the problem
Recall, the area of a rectangle = length x width
Next, plug in the two values given in the problem
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Judy needs to buy a glass table cover for a dinner party, which is 8 ft. long and 3 ft. wide. How much glass does she need to buy?
Judy needs to buy a glass table cover for a dinner party, which is 8 ft. long and 3 ft. wide. How much glass does she need to buy?
Explanation:
Remember to use the formula below to find area:
Since Judy needs enough glass to cover the whole table, this problem asks you to find the area. This means you need to multiply length and width to find the area, which is given in square feet, since each foot of glass is not only one foot long, but also one foot wide (a square).
Step 1: Plug in the numbers for the length and width
Step 2: Solve
Explanation:
Remember to use the formula below to find area:
Since Judy needs enough glass to cover the whole table, this problem asks you to find the area. This means you need to multiply length and width to find the area, which is given in square feet, since each foot of glass is not only one foot long, but also one foot wide (a square).
Step 1: Plug in the numbers for the length and width
Step 2: Solve
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The rectangle in the above figure has length 20 and height 10. What is the area of the red region?
The rectangle in the above figure has length 20 and height 10. What is the area of the red region?
The red region is formed by removing a triangle from a rectangle.
The rectangle measures 20 by 10, and, subsequently, has area
.
The triangle has base 10. Its height is the radius of the circle, which is 5, so its area is
.
The difference between the areas, which is the area of the red region, is 
.
The red region is formed by removing a triangle from a rectangle.
The rectangle measures 20 by 10, and, subsequently, has area
The triangle has base 10. Its height is the radius of the circle, which is 5, so its area is
The difference between the areas, which is the area of the red region, is
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Jon built a new garden with two sides equalling 
, and the other sides equalling 
. What is the area of Jon's new garden?
Jon built a new garden with two sides equalling
In order to do this problem you must imagine the garden as a rectangle with sides of 
by 
by 
by 
.
The formula for area of a rectangle is 
.
In our case the length is 10 and the width is 15. To find the area of a rectangle you must multiply 
by 
, which equals 
In order to do this problem you must imagine the garden as a rectangle with sides of
The formula for area of a rectangle is
In our case the length is 10 and the width is 15. To find the area of a rectangle you must multiply
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The rectangle in the above figure has length 20 and height 10. What is the area of the red region?
The rectangle in the above figure has length 20 and height 10. What is the area of the red region?
The red region is a composite of two figures:
One is a rectangle measuring 20 by 10, which, subsequently, has area
.
The other is a triangle with base 10. Its height is the radius of the circle, which is 5, so its area is
.
The sum of the areas, which is the area of the red region, is 
.
The red region is a composite of two figures:
One is a rectangle measuring 20 by 10, which, subsequently, has area
The other is a triangle with base 10. Its height is the radius of the circle, which is 5, so its area is
The sum of the areas, which is the area of the red region, is
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A square has a perimeter of 
. What is its area?
A square has a perimeter of
A square has a perimeter of 
. The four sides of any square are equal in length, so to find one side of the square, we divide the perimeter by 
.
The area of a square is length x width, and in this case 
side x 
side:
A square has a perimeter of
The area of a square is length x width, and in this case
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A square has a perimeter of 
. What is its area?
A square has a perimeter of
A square with a perimeter of 
has 
equal sides whose lengths add up to 
. You could figure out what these sides have to be in a lot of different ways. If you use algebra, you might set up an equation like 
or 
. You would figure out that the side lengths must all be 
. If a square has side lengths of 
inches, to figure out the area you would do 
, or 
, and you would get an answer of 
.
A square with a perimeter of
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A cube has a sidelength that measures 16 inches. What is the total area of two of its sides or faces?
A cube has a sidelength that measures 16 inches. What is the total area of two of its sides or faces?
All faces of a cube have equal measurements and are squares. So if a cube has a sidelength that measures 16 inches, you know that all its sides measure 16 inches.
The surface area of one face of the cube is: 
Since the question asks for the surface area of two faces of the cube we double the area found for one side: 
All faces of a cube have equal measurements and are squares. So if a cube has a sidelength that measures 16 inches, you know that all its sides measure 16 inches.
The surface area of one face of the cube is:
Since the question asks for the surface area of two faces of the cube we double the area found for one side:
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A squre has perimeter 16.
What is its area?
A squre has perimeter 16.
What is its area?
Because a square has four equal sides, you can divide the perimeter by four to discover each side length is 4. The equation for area of a square is 
,
so 
Because a square has four equal sides, you can divide the perimeter by four to discover each side length is 4. The equation for area of a square is
so
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Jack is painting one side of his house. It is 20 meters long and 15 meters high. A can of paint covers 40 meters squared. How many cans will he need to buy to cover the wall?
Jack is painting one side of his house. It is 20 meters long and 15 meters high. A can of paint covers 40 meters squared. How many cans will he need to buy to cover the wall?
The total area of the wall is 
meters squared.
Each can covers 40 meters squared. Therefore, to find the number of cans needed we will need to divide the total area by the amount of area each can covers.
However, you cannot buy 7.5 cans so the correct answer is 8 Cans.
The total area of the wall is
Each can covers 40 meters squared. Therefore, to find the number of cans needed we will need to divide the total area by the amount of area each can covers.
However, you cannot buy 7.5 cans so the correct answer is 8 Cans.
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What is the area of a rectangle with a length of 2 and a width of 100?
What is the area of a rectangle with a length of 2 and a width of 100?
Write the formula for the area of a rectangle.
Substitute the dimensions and solve for the area.
Write the formula for the area of a rectangle.
Substitute the dimensions and solve for the area.
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Find the area of a square if the side is 25.
Find the area of a square if the side is 25.
Write the formula for the area of a square.
Plug in the side.
Write the formula for the area of a square.
Plug in the side.
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Find the area of a square with a diagonal of 
.
Find the area of a square with a diagonal of
Write the formula to find the side length given the length of the diagonal.
Substitute the diagonal to find the side.
Write the formula for area of the square and substitute the side.
Write the formula to find the side length given the length of the diagonal.
Substitute the diagonal to find the side.
Write the formula for area of the square and substitute the side.
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Find the area of a rectangle if the perimeter is 10.
Find the area of a rectangle if the perimeter is 10.
Write the formula for the perimeter of a rectangle.
Possible combinations of width and length for the perimeter are:
First possibility: 
Second possibility: 
These are only 2 combinations of many possible dimensions.
Write the area of a rectangle.
The area for the first possibility is 4, and the area for the second possibility is 6. Each combination of length and width will yield a different area. Without a known dimension for length and width of the rectangle, we cannot solve for a known area.
The correct answer is: 
Write the formula for the perimeter of a rectangle.
Possible combinations of width and length for the perimeter are:
First possibility:
Second possibility:
These are only 2 combinations of many possible dimensions.
Write the area of a rectangle.
The area for the first possibility is 4, and the area for the second possibility is 6. Each combination of length and width will yield a different area. Without a known dimension for length and width of the rectangle, we cannot solve for a known area.
The correct answer is:
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Find the area of a rectangle if the length is 
and the base is 
.
Find the area of a rectangle if the length is
Write the formula for the area of a rectangle.
Substitute the dimensions.
Remember when multiplying fractions, multiply the numerators together and multiply the denominators together.
Write the formula for the area of a rectangle.
Substitute the dimensions.
Remember when multiplying fractions, multiply the numerators together and multiply the denominators together.
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What is the area of a square if the side of the square is 
?
What is the area of a square if the side of the square is
Write the formula for the area of a square and substitute the side.
Write the formula for the area of a square and substitute the side.
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A square has a base length of 
. What is the area?
A square has a base length of
Write the formula to find the area of a square given its side length.
Write the formula to find the area of a square given its side length.
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