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Question

A garden is in the form of a trapezoid as shown below. Which of the following gives the area of the garden?


A
48 sq m
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B
120 sq m
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C
84 sq m
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D
180 sq m
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Solution

The correct option is C 84 sq m
Given trapezoid is


Area of the trapezium = Area of rectangle + Area of triangle

The length of the rectangle = 8m

Breadth of the rectangle = 6m

Area of rectangle = length × breadth

= 8 × 6 = 48 sq m

Area of triangle = 12 × base × height

= 12 × 12 × 6 = 36 sq m

Hence area of trapezium = 48 + 36 = 84 sq m

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