Question

1. Find the area of the polygon based on
the given measurements (cm).​

Answer 1

Answer:

Area of the polygon is 58.5 cm²

Step-by-step explanation:

In this polygon we have 4 triangles and 2 trapeziums

First we will find the area of the triangles

We know that Area of a triangle = (1/2 * base * height)

Area of ∆ MAN = (1/2 * 2 * 4) = 4 cm²

Area of ∆ OCP = (1/2 * 4 * 6) = 12 cm²

Area of ∆ QDP = (1/2 * 3 * 2) = 3 cm²

Area of ∆ MBR = (1/2 * 3 * 3) = 4.5 cm²

Total Area of 4 triangles = (4+12+3+4.5)cm²= 23.5 cm²

We know that Area of a trapezium = [1/2(one || side + other || side)* height]

Area of trap. ANOC = [1/2(4+6)* 4]cm² = 20 cm²

Area of trap. DQRB = [1/2(3+2)*5]cm² = 15 cm²

Total area of 2 trapeziums = (20+15)cm² = 35 cm²

Total area of the polygon = (23.5 + 35)cm² = 58.5 cm²

Answer 2

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