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UKMT Intermediate Mathematical Challenge, 2015

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

A flag is in the shape of a right-angled triangle, as shown, with the horizontal and vertical sides being of length 72 cm and 24 cm respectively. The flag is divided into 6 vertical stripes of equal width. What, in $\text{cm}^2$ , is the difference between the areas of any two adjacent stripes?

(A) $96$ (B) $72$ (C) $48$ (D) $32$ (E) $24$

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