How to find the perimeter of a rectangle - ISEE Lower Level (grades 5-6) Mathematics Achievement

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Question

Marcell wants to put a new fence around the perimeter of his garden. Marcell's rectangular garden is 30 feet long and 15 feet wide. How many feet of fence does Marcell need?

Answer

$\dpi{100} (30+30)+(15+15)$

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Question

Dennis is building a fence around his field to keep his cattle from getting off the property. If Dennis’ field is $\small 3$ miles long and $\small 2$ miles wide, how much fence will Dennis need to surround all of his property?

Answer

In order to determine how much fence Dennis will need, we must find the perimeter of his property, which can be found using the formula $\small \small 2W+ 2L$ . When we plug $\small 2\ mi$ in the $\small W$ and $\small 3\ mi$ in for $\small L$ , we find that Dennis needs $\small 10\ mi$ of fence to surround his property.

$\small 2(2\ mi) + 2(3\ mi) = 10\ mi$

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Question

Mr. Barker is building a rectangular fence. His yard has an area of feet, and the one side of the fence he's already built is feet long.

What will the perimeter of his fence be when he is finished building it?

Answer

The perimeter is calculated by adding up all the sides of the rectangle—in this case,

So the perimeter is feet.

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Question

Give the perimeter of the rectangle in the above diagram.

Answer

Add the length and the height, then multiply the sum by two:

$(11 + 18) \times 2 = 29 \times 2 = 58$

The rectangle has a perimeter of 58 inches.

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Question

What is the perimeter of the above rectangle?

Answer

The perimeter of a rectangle is the length of all the sides added together. This rectangle has two short sides that are each feet long and two long sides that are each feet long. , so the correct answer is .

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Question

Give the perimeter of the above rectangle in feet.

Answer

Use the following formula, substituting :

$A = 2 (30 + 15) = 2 \times 45 = 90 \textrm{ in}$

Now, divide this by 12 to convert inches to feet.

$\frac{90}{12} = 7 \textrm{ R }6$

6 inches make half of a foot, so this means the perimeter is $7 \frac{1}{2}$ feet.

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Question

What is the perimeter of a rectangle that has a length of $\small 7$ inches and a width of $\small 4$ inches? $\small \left ( P=2l+2w\right )$

Answer

The perimeter of a shape is the sum of all its sides. To find the perimeter of a rectangle, one can use the formula listed above, $\small \left ( P= 2l+2w\right )$ , since a rectangle has opposite sides of equal length.

The length of the rectangle is $\small 7$ :

$\small 2\times7=14$

The width of the rectangle is $\small 4$ :

$\small 4\times2=8$ .

$\small 14+8=22$

Therefore, the perimeter is $\small 22$ .

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Question

What is the perimeter of a rectangle with length equal to 5 and width equal to 3?

Answer

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Question

What is the perimeter of a rectangle with a width of and a length of ?

Answer

The perimeter of a rectangle is equal to the sum of all its sides. The formula for finding the perimeter of a rectangle is .

The length of the rectangle is eight, and the width is five; .

$13\times2=26$

Therefore, the perimeter of the rectangle is .

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Question

A rectangle has sides 10 cm and 4 cm. What is its perimeter?

Answer

A rectangle has two sides of congruent, or equal, sides. Therefore, there are two 10 cm sides and two 4 cm sides. Perimeters is the sum of all the sides, so you must add up the four sides. The answer is 28 cm.

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Question

If the perimeter of a rectangle is equal to 54 inches, what are possible values for the width and length?

Answer

The perimeter of a rectangle is equal to:

The only answer choice that provides dimensions for which the perimeter of a rectangle would be 54 inches is when there is a width of 10 inches a length of 17 inches.

Therefore, a width of 10 inches and length of 17 inches is the correct answer.

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Question

If Margaret is buying a tablecloth for a table that is 4 feet by 2 feet, what should be the area of the tablecloth?

Answer

We will need to find the area of the rectangle by multiplying the length by the width:

$A=l\times w$

Use the given dimensions:

$A=4\times2=8\ \text{ft}^2$

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Question

If a rectangle has a width of 6.5 inches and a length of 9 inches, what is its perimeter?

Answer

The perimeter of a rectangle is found by adding together all four sides. Two sides will be equal to the length, and two sides will be equal to the width.

Since the width is 6.5 inches and the length is 9 inches, the perimeter would be:

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Question

A rectangle has a width of 5 inches and an area of 35 inches. What is the length, in inches?

Answer

The area of a rectangle is equal to the length times the width.

$A=l\times w$

Here, we know that the area is 35, and the width is 5. We can fill in part of the equation with these values.

$35=l\times5$

The only number that equals 35 when multiplied by 5 is 7.

$35\div5=7$

$35=7\times5$

7 is the correct answer.

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Question

If the width of a rectangle is 3 inches and the length is 5 inches, what is the perimeter?

Answer

The perimeter of a rectangle can be found by adding together all the sides. This would give us:

Therefore, 16 inches is the correct answer.

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Question

If the width of a rectangle is 2 inches and the length is 6 inches, what is the perimeter in inches?

Answer

The perimeter of a rectangle can be found by adding together all the sides. The formula is:

Use the given values for the length and the width to solve.

$2\text{in}+2\text{in}+6\text{in}+6\text{in}=16\text{in}$

16 inches is the correct answer.

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Question

If the perimeter of a rectangle is inches and its length is twice the value of its width, what is the value of the width of the rectangle in inches?

Answer

If the length of the rectangle is twice the value of its width, then if the width is equal to w, then the length is equal to 2w.

Given that the perimeter of a rectangle is equal to the value of all the sides added together, the following equation would apply:

This means that the rectangle is inches wide.

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Question

The length of a rectangle is , and the width of the rectangle is . What is the perimeter if and ?

Answer

If the length of a rectangle is and the width is , the perimeter is:

Now plug in and :

$=4\cdot7+2\cdot6+8$

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Question

The area of a rectangle is . One of its sides is . What is its perimeter?

Answer

Remember that the area of a rectangle is equal to its base times its height. If its area is and one side has a length of , we can find the other side by dividing these:

$Other Side = \frac{600}{15}=40$

So, our rectangle looks like this:

The perimeter is easily calculated:

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Question

What is the perimeter of the following rectangle?

Answer

The perimeter of a rectangle is very easy to solve. Merely add up all the sides:

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