Question

Find the lateral area of the square pyramid shown, to the nearest whole number.

A. 7294 yd2

B. 3192 yd2

C. 4758 yd2

D. 3647 yd2

Answer 1

I believe the correct answer is D)

Answer 2

The correct answer is option D

Explanation:

The lateral area of pyramid is

`l * √((w/2)^2 + h^2)  + w * √((l/2)^2 + h^2) \\`

Where

`l = 42 yd\\w = 42 yd\\h = 38 yd\\`

Substituting all these values in above equation, we get -

`42 * \sqrt{((42)/(2))^2 + 38^2 } \\ + 42 * \sqrt{((42)/(2))^2 + 38^2 } \\\\= 2 * 42 * 43.41\\= 3647 yd^2\\`