VTMO 2026 - Grade 7 - Semifinal - SET 5 - Self-study Question 24

Question 24

A square of area $36$ cm$^2$ is divided into four congruent rectangles and a smaller square as shown. The perimeter of the smaller square equals the perimeter of one rectangle. What is the area of one rectangle?

(Figure not to scale.)

Question illustration

$6$ cm$^2$
$6.75$ cm$^2$
$7$ cm$^2$
$7.5$ cm$^2$
$7.75$ cm$^2$