How to find the length of the side of a rectangle

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Geometry › How to find the length of the side of a rectangle

Questions 1 - 10

If the area of a rectangle is , and the length of the rectangle is , what is the width of the rectangle?

Explanation

Recall how to find the area of a rectangle.

$\text{Area}=\text{length}\times\text{width}$

We can divide both sides by the length to find the width.

$\text{Width}=\frac{\text{Area}}{\text{length}}$

Now, plug in the information from the question.

$\text{Width}=\frac{64}{4}=16$

If the area of a rectangle is , and the length of the rectangle is , what is the width of the rectangle?

Explanation

Recall how to find the area of a rectangle.

$\text{Area}=\text{length}\times\text{width}$

We can divide both sides by the length to find the width.

$\text{Width}=\frac{\text{Area}}{\text{length}}$

Now, plug in the information from the question.

$\text{Width}=\frac{88}{8}=11$

A rectangle has a perimiter of 36 inches and a length of 12 inches. What is the width of the rectangle in inches?

Explanation

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

$36-(12\cdot 2)=12$

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

Explanation

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the width.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{width}=\frac{\text{Perimeter}}{2}-\text{length}$

Now, plug in the information given by the question to find the width.

$\text{width}=\frac{18}{2}-3=9-3=6$

A rectangle has a width of 5 meters. Its length is 2.5 times the width. What is the length of the long side and the total area of this rectangle?

None of these.

Explanation

"2.5 times the width" is equivalent to 2.5w. The length of the long side is .

The area is

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

Explanation

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the width.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{width}=\frac{\text{Perimeter}}{2}-\text{length}$

Now, plug in the information given by the question to find the width.

$\text{width}=\frac{22}{2}-5=11-5=6$

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

Explanation

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the width.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{width}=\frac{\text{Perimeter}}{2}-\text{length}$

Now, plug in the information given by the question to find the width.

$\text{width}=\frac{20}{2}-9=10-9=1$

If the perimeter of the rectangle is , and the length of the rectangle is , what is the width of the rectangle?

Explanation

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the width.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{width}=\frac{\text{Perimeter}}{2}-\text{length}$

Now, plug in the information given by the question to find the width.

$\text{width}=\frac{54}{2}-12=27-12=15$

If the perimeter of the rectangle is , and the width of the rectangle is , what is the length of the rectangle?

Explanation

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the length.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{length}=\frac{\text{Perimeter}}{2}-\text{width}$

Now, plug in the information given by the question to find the length.

$\text{length}=\frac{56}{2}-12=28-12=16$

If the area of a rectangle is , and the length of the rectangle is , what is the width of the rectangle?

Explanation

Recall how to find the area of a rectangle.

$\text{Area}=\text{length}\times\text{width}$

We can divide both sides by the length to find the width.

$\text{Width}=\frac{\text{Area}}{\text{length}}$

Now, plug in the information from the question.

$\text{Width}=\frac{56}{7}=8$

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