Track / Stage 2 / 6 of 320 #326 of 2604

Problem 326

Geometry Difficulty 2.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2001

A rectangular sign that has dimensions 9 m by 16 m has a square advertisement painted on it. The border around the square is required to be at least 1.5 m wide. The area of the largest square advertisement that can be painted on the sign is

(A) $78\text{ m}^2$ (B) $144\text{ m}^2$ (C) $36\text{ m}^2$ (D) $9\text{ m}^2$ (E) $56.25\text{ m}^2$

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.