Will give brainliest!!!The length of a rectangle is 2 inches more than the width. If the diagonal is radical 20 inches, find the area of the rectangle. A) 4 in^2 B) 8 in^2 C) 16 in^2 D) 32 in^2
Accepted Solution
A:
Answer: B. 8 in^2.Step-by-step explanation:Let the width be x inches, then the length = x + 2 inches.So by The Pythagoras theorem:(√20)^2 = x^2 + (x + 2)^2x^2 + x^2 + 4x + 4 = 202x^2 + 4x - 16 = 0x^2 + 2x - 8 = 0(x + 4)(x - 2) = 0x = 2, -4 (we ignore the negative so x = 2)So the area = 2 * (2 + 2)= 8 in^2.