Whats the answer

Question

The length of a rectangle is seven more than the width. Find the length of the rectangle if the perimeter of the rectangle is 42 inches

Answer 1

I would first look at the formula for perimeter of a rectangle.

You add the lengths and widths. So now we have 42 = L + L + W + W.

We know that length is 7 more than width. So W + 7 = L . Lets substitute this back into our equation above:

42 = W + W + (W + 7) + (W +7)

42 = 4W + 14

42 - 14 = 4W + 14 - 14

28 = 4W

W=7

We have the width and the formula for length so lets go ahead and solve for L.

L=W+7

L=7+7

L=14

The length of the triangle is equal to 14.

Answer 2

L = w+7

Perimeter = 2*L + 2*w

42 = 2*(w+7) + 2*w

= 2w + 14 + 2w

= 4w +14

42 = 4w + 14

28 = 4w

w = 7

width is 7, length is 14