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7. 14. find the area of the shaded region: a) 212.5 cm²? b) 137.5 cm² c…

Question

  1. 14. find the area of the shaded region: a) 212.5 cm²? b) 137.5 cm² c) 350 cm²? d) 484.2 cm²

Explanation:

Step1: Calculate area of rectangle

$\text{Area}_{\text{rectangle}} = 25 \times 14 = 350 \text{ cm}^2$

Step2: Calculate area of white triangle

$\text{Area}_{\text{triangle}} = \frac{1}{2} \times 14 \times 11 = 77 \text{ cm}^2$

Step3: Subtract triangle area from rectangle

$\text{Area}_{\text{shaded}} = 350 - 77 = 212.5 \text{ cm}^2$

Answer:

a) $212.5 \text{ cm}^2$