Answer:
(a) 147.2 in²
Explanation:
You want the surface area of a rectangular base pyramid with the dimensions shown in the figure.
Lateral area
The area of the pair of congruent opposite triangular faces is ...
A = 2(1/2)bh = bh
For the long side, that is ...
A = (7 in)(8 in) = 56 in²
For the short side, that is ...
A = (6 in)(8.2 in) = 49.2 in²
Base area
The area of the rectangular base is ...
A = bh
A = (7 in)(6 in) = 42 in²
Surface area
The total surface area of the pyramid is ...
A = 56 in² +49.2 in² +42 in² = 147.2 in²
The surface area is 147.2 in², matching choice A.
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