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Question

In the given shelf which is right angled at A, AB = AC = 48 inches. Find the area of the shelf.


A

1155 sq. inches

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B

1142 sq. inches

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C

1152 sq. inches

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D

1158 sq. inches

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Solution

The correct option is C

1152 sq. inches


Area of a triangle = 12×base×height

Here, the given triangle is right angled at A.

Considering AB as the base and AC as the corresponding height, we get

Area of the shelf = 12×AB×AC

= 12×48×48
(Since AB = AC = 48 inches)

= 1152 sq. inches

Hence, area of the shelf is 1152 sq. inches.


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