Question

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches. If the area of the rectangle is 22 square inches, what is the value of the unknown number? a0 inches

Answer 1

Answer:

11

Step-by-step explanation:

Area = LW

We know that the w = 2

We are told that the L (length) is three less than an unknown number so that mean L = (x - 3)

We are then told that the area = 22 square inches.

Area = LW

22 = (x - 3)2

Now solve for x

22 = (x - 3)2

Distribute the 2

22 = 2x - 6

22 + 6 = 2x

28 = 2x

28 / 2 = 2x / 2

14 = x

x = 14

Now take 14 and subtract 3

14 - 3 = 11

Unknown number = 11

Area  = LW

L = 11

W = 2

Area = 22

11 * 2 = 22