Squares - ISEE Lower Level (grades 5-6) Mathematics Achievement

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Question

If the perimeter of a square is 18 cm, what must the area of this square be?

Answer

Remember that a square has four sides, each side with equal lengths. If a square has a perimeter of 18 cm, that means that each side has a length of

18 ÷ 4 =

4.5 cm.

The formula for the area of a square is length x width or length squared (length x length), since each side of a square has the same length.

So,

4.5 x 4.5 =

20.25cm2

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Question

What is the area of a square that has a side with a length of 9 cm?

Answer

The area of a square can be found using the same equation as the area of a rectangle - length times width.

However, in the case of a square, all of the sides are of equal length. Therefore, the area of a square can be found using the equation:

or

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Question

What is the area of a square that has a side with a length of 10 in.?

Answer

To calculate the area of a square, you need to multiply the length by the width. By definition, a square has 4 equal sides. So, by knowing the length of one side of the square, you know the length measurement and the width measurement.

Since the length of one side of this square is 10 in., you would multiply to get the answer.

Because area is the number of squares that would be used to cover the inside the shape, it is given in units2. As a result, the answer is 100 in.2.

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Question

What is the area of a square with a side that measures feet?

Answer

The area of a square can be found using the following formula:

The side measures feet.

Therefore, the area of the square is square feet.

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Question

If the perimeter of a square is 48 inches, what is the area?

Answer

The perimeter of a square is given by , where is the sidelength.

Plug in the given value for the perimeter:

Divide both sides by 4 to find the sidelength:

The area of a square is given by .

Plug in the sidelength we just calculated to find the area:

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Question

If the perimeter of a square is 40 centimeters, what is the area?

Answer

The perimeter of a square is given by , where is the sidelength.

We know the perimeter, so we can set up an equation to find the sidelength:

Divide both sides by 4 to isolate the sidelength:

The area of a square is given by .

We just calculated the sidelength, so now we can find the area:

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Question

The perimeter of a square is . What is the area?

Answer

The perimeter of a square is given by , or . Divide by four to get .

The area of a square is given by . Substitute the value obtained from the perimeter equation to get .

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Question

The perimeter of a square is . What is the area?

Answer

The perimeter of a square is given by , or . Divide by four to get .

The area of a square is given by . Substitute the side length obtained from the perimeter equation to get .

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Question

The perimeter of a square is . What is the area?

Answer

The perimeter of a square is given by . Here , so divide by four to get .

The area of a square is given by . Substitute the side length obtained from the perimeter equation to get .

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Question

The perimeter of a square is . What is the area?

Answer

The perimeter of a square is given by , or . Divide by four to get .

The area of a square is given by . Substitute the side length obtained from the perimeter equation to get .

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Question

A square has a perimeter of 24 inches. What is the area of the square?

Answer

Given that all four sides of a square are equal, if the perimeter is 24 inches, then you need to divide by 4 to find the length of each side.

The area is found by multiplying two sides together.

Plug in the value of to solve.

Therefore, is the correct answer.

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Question

Becca takes a square napkin and folds it in half once. She then folds it in half again. When she unfolds it, the creases create lines. What best describes the pattern created by the creases?

Answer

When a napkin is folded in half once, a crease is created vertically down the middle of the napkin. When folded in half once again, another crease is created horizontally across the middle. This creates four squares. Therefore, the best answer is "4 squares."

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Question

The perimeter of a square is 44 inches. What is the area?

Answer

In a square, all four sides are equal, and the area is calculated by multiplying one side by itself.

To find the length of one side, we divide the perimeter by 4 (since there are 4 sides of the square).

We know the perimeter, allowing us to solve for the side.

This gives us 11, so we know that each side is 11 inches long. Now we can find the area.

The area, 11 inches times 11 inches, is 121 square inches, the correct answer.

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Question

The side of a square is 2 yards long. What is the area in square feet?

Answer

To solve this question we will need to convert units from yards to feet.

Our question states that each side of the square is two yards.

Each side of the square is 6 feet. To find the area, we need to multiply the length of two sides.

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Question

A square has an area of 49 square inches. What is the length of one side of the square?

Answer

In a square, all four sides are equal, and the area is calculated by multiplying one side by itself.

Given that the area is 49 square inches, the length of one side of square would be 7, because 7 times 7 is 49.

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Question

What is the value of ?

Answer

simplies to . Therefore, 25 is the correct answer.

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Question

If the perimeter of a square is 48 inches, how many square inches are in the area?

Answer

The perimeter of a square is equal to the sum of the 4 sides. Given that all the sides of a square are equal, the length of one side of the square can be found by dividing the perimeter by 4.

Given that 48 divided by 4 is equal to 12, we can now find the area. The area is equal to one side multiplied by another. The result is

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Question

If the perimeter of a square is , what is the area?

Answer

If the perimeter of a square is , this means that each side is equal to because the side of a square is equal to one-fourth of its perimeter.

The area is the product of one side multiplied by another side.

Since all sides in a square are equal, the area would be equal to multiplied by , which is:

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Question

Find the area of a square whose side length is .

Answer

To solve, simply use the formula for are of a square. Thus,

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Question

Find the area of a square with side length .

Answer

To solve, simply use the formula for the area of a square. Thus,

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