Answer:
95 in²
Step-by-step explanation:
The total area of a pyramid is the sum of the areas of the triangular faces and the area of the base.
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face area
Here, each triangular face has a base of 5 in, and a slant height of 7 in. Its area will be given by the area formula for a triangle:
A = 1/2bh
A = 1/2(5 in)(7 in) = 35/2 in² . . . . area of one of four congruent faces
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base area
The area of the base is that of a square with 5-inch sides. It is given by the formula ...
A = s²
A = (5 in)² = 25 in²
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total area
Then the total surface area is .
area of base + 4 × triangle area
= 25 in² + 4(35/2 in²) = 95 in² . . . . . surface area of the pyramid
