VTMO 2022 — Grade 4 — vtmo Question 8

Question 8

Two congruent squares and two congruent rectangles fit in a $54 \,\mathrm{cm}$ by $22 \,\mathrm{cm}$ rectangle, leaving the gray square shown. Find its area. The diagram is not to scale.

Question illustration

$225 \,\mathrm{cm}^{2}$
$256 \,\mathrm{cm}^{2}$
$196 \,\mathrm{cm}^{2}$
$289 \,\mathrm{cm}^{2}$
$324 \,\mathrm{cm}^{2}$