Track / Stage 1 / 188 of 240 #188 of 2444

Problem 188

Algebra Difficulty 1.6 Multiple choice CEMC Gauss (Grade 7) · Canada · 2019

A rectangle has length $x$ and width $y$ . A triangle has base 16 and height $x$ . If the area of the rectangle is equal to the area of the triangle, then the value of $y$ is

Pick one

Official solution

The area of the rectangle with length $x$ and width $y$ is $x\times y$ .

The area of the triangle with base 16 and height $x$ is $\frac12\times 16\times x$ or $8\times x$ .

The area of the rectangle is equal to the area of the triangle, or $x\times y=8\times x$ , and so $y=8$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.