Question

The figure shows the dimensions of a backyard below. Find the area.

Answer 1

Answer:

The area of shaded portion is 1000 sq yd.

Answer 2

The area of the shaded region is 1000 yd ²

Step-by-step explanation:

total length of the rectangle = 40 yd

total breadth of the rectangle = 30 yd

therefore

area of rectangle = length × breadth

area of rectangle = 40 × 30 = 120 yd²

area of the triangle = $\frac{1}{2} \times base \times height$

base = 20 yd

height = 20 yd

therefore area  of triangle

$\frac{1}{2}\times 20 \times 20 \\\\= 200 yd ^2$

now , area of the shaded region = area of rectangle - area of triangle

area of the shaded region = 1200 - 200 = 1000 yd ²

hence , The area of the shaded region is 1000 yd ²

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