The length of a rectangular frame is 10 centimeters more than the width. The area inside the frame is 75 square centimeters. Find the width of the frame.
A) 5 centimeters
B) 8 centimeters
C) 15 centimeters
D) 25 centimeters

Question

Quizplus · Accepted Answer

The width can be represented as $w$ and the length as $w + 10$. The area of a rectangle is given by the formula $length \times width$, so we have $w(w + 10) = 75$. Solving this quadratic equation $w^2 + 10w - 75 = 0$ gives $w = 5$ as the positive solution, which is the width of the frame.

The Length of a Rectangular Frame Is 10 Centimeters More