Question

The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the widt

of the rectangle in inches, which equation can be used to find its value?

Answer 1

The equation 12 + 2w = 28 can be used to find its value.

Explanation:

We know that the perimeter is 28 inches and the length is 6 inches. We know that the perimeter of a rectangle is 2l + 2w. This means we can plug in our length and our perimeter to get an equation, 6*2 + 2w = 28, or

12 + 2w = 28.

We can solve this by first subtracting 12 from both sides

2w = 16 | Then divide both side by 2

w = 8

Answer 2

Explanation:

Rectangle:

Width = x inches

Length = x + 6 inches

Perimeter = 28 inches

2 ( l + b ) = 28

2 * ( {x+6} + x) = 28

2 * ( x + 6 +x ) =28

2 * (2x + 6) =28

2x + 6 = 28/2

2x + 6 = 14

2x = 14 - 6

2x = 8

x = 8/2

x = 4

Width = 4 inches

Length = x + 6 = 4 + 6 = 10 inches