Finding dimensions of a rectangle with perimeter and area given

Asked by admin @ 29/10/2021 in Mathematics viewed by 355 People

Find the length of the rectangle. The perimeter of the rectangle is 34 inches. The width of the rectangle is 7 inches. The length of the rectangle is L. A. 10 in. B. 20 in. C. 27 in. D. 70 in.

Answered by admin @ 29/10/2021

Hello!

The answer is:

The correct option is:

A. 10 in.

Why?

To calculate the length of the rectangle using its perimeter and one of its sides (width), we need to remember the formula to calculate the perimeter of a rectangle.

$Perimeter_{rectangle}=2width+2length$

Now, we are given the following information:

$Perimeter=34in\\Width=7in$

Then, substituting and calculating, we have:

$Perimeter_{rectangle}=2width+2length$

$34in=2*7in+2length$

$34in-14in=2length\\\\2length=20in\\\\length=\frac{20in}{2}=10in$

Hence, we have that the length of the rectangle is equal to 10 inches.

So, the correct option is:

A. 10 in.

Have a nice day!

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