Question

A computer company makes a rectangular screen with a diagonal of 20 inches. The width of the screen is 4 inches less than its length. The dimensions of the computer screen are modeled by the equation x2 + (x – 4)2 = 202. What is the value of x, the length of the screen?

Answer 1

x = 52.5

Explanation:

1) Reorder the equation + Parentheses

2x + 2x - 8 = 202

2) Collect like terms

4x - 8 = 202

3) Add 8 to both sides

4x = 210

4) Divide both sides by 4

x = 105/2 = 52.5