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Question

# Find the area of the unfolded envelope as shown in the given figure.

A
48 sq. cm
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B
88 sq. cm
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C
40 sq. cm
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D
98 sq. cm
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Solution

## The correct option is B 88 sq. cmDivide the entire envelope into the following figures: Area of the unfolded envelope = Area of Figure I + Area of Figure II + Area of Figure III Now, Figure I and III are triangles and Figure II is a rectangle. Area of triangle=12×height×base So, area of Figure I=12×base×height =12×8×6 =24 sq. cm Figure I and III have same height and base. ∴ Area of Figure I = Area of Figure III = 24 sq. cm. Now, area of rectangle = length × width So, area of Figure II = length × width =8×5 =40 sq. cm Area of the unfolded envelope will be: =24+24+40 =88 sq. cm

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