Question

he area of a rectangular piece of metal is 20 square centimeters. The perimeter is 18 centimeters. What are the dimensions of the piece?

Answer 1

5 cm by 4 cm

Explanation

A = L x W 20 = L x W

P = 2L + 2W (18 = 2L + 2W)/2

9 = L + W W = 9 - L

20 = L (9 - L) 20 = 9L - L^2

L^2 - 9L + 20 = 0 (L - 4)(L - 5) = 0

L = 4 L = 5

The longer one is the length, so L = 5, and W = 4.