Question

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

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• A. 1155 sq. inches
• B. 1142 sq. inches
• C. 1152 sq. inches
• D. 1158 sq. inches

Answer 1

The correct option is C

1152 sq. inches

Area of a triangle = $\frac{1}{2}\times base\times height$

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 = $\frac{1}{2}\times AB\times AC$

= $\frac{1}{2}\times 48\times 48$
(Since AB = AC = 48 inches)

= 1152 sq. inches

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