Question

The perimeter of a rectangle is 24 inches. The length is 2 inches. Use the numbers below to complete an equation to solve for the width, W. Numbers may be used more than once, just once, or not at all. Numbers ( 8, 24, 12, 4, 10, 2)

Answer 1

You have the following infornation about the dimensions of a rectangle:

- P: perimeter = 24 in

- l: length = 2 in

In order to determine the width of the rectangle, you take into account the formula for the perimeter of a rectangle, which is given by:

P = 2w + 2l

where w is the width of the retangle and l is the length. From the previous equation you can solve for w, just as follow:

P = 2w + 2l subtract 2l both sides

P - 2l = 2w divide between 2 both sides

(P - 2l)/2 = w

You replace the values of h and w into the previoues expression:

w = (24 - 2(2))/2 = 20/2 = 10

Hence, the width of the rectangle is w = 10 in