The roof of a clock tower is a square pyramid. Each side of the base is 16ft long. The slant height is 22ft. What is the lateral area of the roof?

The area of the pyramid is 703.97 ft²

Step-by-step explanation:

The lateral area of a right square pyramid is given as;

where;

a is base length

h is the vertical height of the pyramid

The vertical height of the pyramid is calculated as follows;

the vertical height passes through the center of the base.

half of the base = 8 ft

the slant height = hypotenuse side of the right triangle = 22 ft

Thus; h² = 22² - 8²

h² = 420

h = √420

h = 20.493 ft

The area of the pyramid is calculated as;

Therefore, the area of the pyramid is 703.97 ft²

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step-by-step explanation:

a. she will receive a refund of $278.

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