Question 21

A square of side 60 m and rectangle of length 80 m have the same perimeter. The difference in their areas is

The square's perimeter is 240 m, so for the rectangle $$2(80 + b) = 240$$, giving $$b = 40$$ m. The areas are $$3600\ \text{m}^2$$ and $$80 \times 40 = 3200\ \text{m}^2$$. Their difference is $$400\ \text{m}^2$$.

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