$\"\"$

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

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

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

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

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$\"\"$ (Pythagorean theorem)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evaluate powers)

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Take square root)

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$\"\"$ (Use a calculator) $\"\"$

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Perimeter:

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$\"\"$

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$\"\"$ (Substitute base = 4)

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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Area:

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$\"\"$

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$\"\"$ (Substitute base = 4)

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$\"\"$ (Evaluate powers) $\"\"$

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Surface area(T):

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$\"\"$ (Surface area of regular pyramid)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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The surface area is approximately 74.4 square feets.