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Question: Find the lateral area of the square pyramid.
A ) 286 in.
2
B ) 427 in.
2
C ) 207 in.
2
D ) 457 in.
2
Steps to derive
1
From the figure, side of a square is 11 in.
2
Area of the lateral face =
1
2
× base × height
[Lateral face is a triangle with base 11 in. and height 13 in.]
2
=
1
2
× 11 × 13 = 71.5 in.
2
3
Lateral area of the square pyramid = 4 × area of lateral face
[Substitute the value.]
4
= 4 × 71.5
[Multiply.]
5
= 286
6
The lateral area of the square pyramid is 286 in.
2
.
Hence the right answer is Option A
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