Question

A television screen has an area of 104 square inches. Its perimeter is 42 inches. What are the dimensions of the screen?

Answer 1

8 and 13

Explanation:

2(x + y) = 42 => x + y = 21 => y = 21 - x

x X y = 104

x X (21 - x) = 104

21x - x^2 = 104

x^2 - 21x + 104 = 0

x^2 - 13x - 8x + 104 = 0

x(x - 13) - 8(x - 13) = 0

(x - 8)(x - 13) = 0

x = 8, 13

dimensions are 8 inches and 13 inches