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Area by Counting Grids

Irfan and Ish...

Question

Irfan and Ishan were painting a wall. Irfan painted the diamond-shaped portion. Ishan painted the rest. What area did each paint?

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Solution

$\begin{matrix} A r e a o f w a l l = 8 \times 2.4 = 19.2 m^{2} I s h a n a r e a o f p a i n t = 4 \times \frac{1}{2} \times 1.2 \times 4^{2} = 4 \times 2.4 = 9.6 m^{2} ∴ I s h a n a r e a o f p a i n t = 19.2 - 9.6 = 9.6 m^{2} \end{matrix}$

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