MATH SOLVE

2 months ago

Q:
# What is the surface area of the composite figure

Accepted Solution

A:

9514 1404 393Answer: 382 cm²Step-by-step explanation:The side facing is a trapezoid with bases 8 and 14 cm, and height 7 cm. Its area is ... A = 1/2(b1 +b2)h A = (1/2)(8 +14)(7) = 77 . . . . cm²The perimeter of the face is ... 7 cm + 8 cm + 9 cm + 14 cm = 38 cmThe total surface area is the sum of the lateral area and the base area. SA = LA + BA SA = (38 cm)(6 cm) + 2×(77 cm²) = 228 cm² + 154 cm² SA = 382 cm²The surface area of the composite figure is 382 square centimeters._____Additional commentThe lateral area is the width of a rectangular face (6 cm) times the total of all of the lengths of those faces. That total is the perimeter of the trapezoidal base (38 cm).There are two trapezoidal bases that contribute area. The first calculation figured the area of one of them.