The length of a rectangle is 6 inches more than its width, and its perimeter is 32 inches. Find the width of the rectangle. 5 inches 11 inches 16 inches

Question

The length of a rectangle is 6 inches more than its width, and its perimeter is 32 inches. Find the width of the rectangle.

5 inches

11 inches

16 inches

Answer 1

Let's call the short side (width) X and the longer side (length) x+6.

We know the perimeter is 32. L+L+W+W or 2L+2W= Perimeter (that's just using the Perimeter formula).

Plugging in 2X + 2(X+6)= 32

Now, use the distributive property on the length to get,

2X + 2X + 12= 32

Now, combine like terms:

4x+ 12= 32

Now, get X alone by subtracting 12 from both sides.

4x= 20

Now, get X alone by dividing both sides by 4

X= 5.

Looks like your width is 5 making option A the correct answer.