Answer
423 $in.^{2}$
Work Step by Step
Base area = $\frac{perimeter \times apothem }{2}$
Base area = $\frac{5 \times 6 in. \times 4,1 in. }{2}$
Base area = 61. 5 $in.^{2}$
Lateral area = 5 $\times$ side $\times$ height
Lateral area = 5 $\times$ 6 in. $\times$ 10 in.
Lateral area = 300 $in.^{2}$
Total area = lateral area + 2 $\times$ area of the base
Total area = 300 $in.^{2}$ + 2 $\times$ 61.5 $in.^{2}$
Total area = 423 $in.^{2}$
