Helpp nowww 25 points

Surface area = 197 in²

Step-by-step explanation:

To determine the surface area of the solid shown in the diagram, we would first determine the area of the different faces.

1) It has 2 trapezoidal faces at the front and opposite end, the formula for determining the area of a trapezoid is expressed as

Area = (a + b)h/2

a and b are the length of the bases while h is the height of the trapezoid.

Area of trapezoid = (5 + 9)5/2 = 35 in²

Area of the trapezoid at the opposite end = 35 in²

2) Area of base = 9 × 5 = 45 in²

3) Area of top = 5 × 5 = 25 in²

4) Area of slant face = 6.4 × 5 = 32 in²

5) Area of back = 5 × 5 = 25in²

Surface area of the design is the sum of the area of its faces. It becomes

35 + 35 + 45 + 25 + 32 + 25 = 197in²