A rectangular street sign has an area of 40 square inches and a perimeter of 28 inches. What are the dimensions of the sign?

inches by inches

10 and 4

Answer: 4 inches by 10 inches

Step-by-step explanation:

The area of a rectangle can be written as b*h, while perimeter is equal to (2b + 2h).

A = b*h = 40

P = 2b + 2h = 28

P = 2b + 2h

28 = 2b + 2h

28 = 2 (b+h)

14 = b + h

What two numbers add to 14 and multiply to 40?

4 * 10 = 40

4 + 10 = 14