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Question

# Area of the given trapezoid is sq ft.

A
20
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B
15
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C
10
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Solution

## The correct option is B 15Divide the trapezoid into known shapes such as triangles and rectangles whose dimensions can be determined by looking at the given shape. Area of a rectangle = length × width Area of a triangle=12×base×height So, the figure ABCD is divided into triangle ADE and rectangle ABCD. In △ADE: Base = 2 ft Height = 3 ft. Area of triangle ADE=12×2×3 = 3 sq ft In rectangle ABCE: Length = 3 ft Width = 4 ft ∴ Area of rectangle ABCE = 4 ft × 3 ft = 12 sq ft So, area of trapezoid will be: = Area of rectangle ABCE + Area of △ADE = (3 + 12) sq ft = 15 sq ft

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