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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

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 class=

Respuesta :

I believe the correct answer is D)

Answer:

The correct answer is option D

Step-by-step explanation:

The lateral area of pyramid is

[tex]l * \sqrt{(w/2)^2 + h^2}  + w * \sqrt{(l/2)^2 + h^2} \\[/tex]

Where

[tex]l = 42 yd\\w = 42 yd\\h = 38 yd\\[/tex]

Substituting all these values in above equation, we get -

[tex]42 * \sqrt{(\frac{42}{2})^2 + 38^2 } \\ + 42 * \sqrt{(\frac{42}{2})^2 + 38^2 } \\\\= 2 * 42 * 43.41\\= 3647 yd^2\\[/tex]