To find the surface area, first find the slant height of the pyramid.The slant height is the

hypotenuse of a right triangle with legs that are the altitude and a segment with a length

that is one-half the side measure of the base.

Given that height(h) of pyramid = 7 ft.

(Pythagorean theorem)

(Substitute )

(Evaluate powers)

(Add: )

(Take square root)

(Use a calculator)

Perimeter:

(Substitute base = 4)

(Multiply: )

Area:

(Substitute base = 4)

(Evaluate powers)

Surface area(T):

(Surface area of regular pyramid)

(Substitute )

(Multiply)

(Add: )

The surface area is approximately 74.4 square feets.

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