Question

If a = 11 ft, b = 5 ft, and c = 7 ft, what is the surface area of the geometric shape formed by this net?

A. 167 sq. ft.
B. 145 sq. ft.
C. 117.5 sq. ft.
D. 147 sq. ft.

Answer 1

the answer is B. 145 sq. ft.

Explanation:

find the area of the first 2 triangles

A = 1/2 bh

A = 1/2 ba

a = 1/2 (11 ft.) (5 ft)

a = 27.5 sq ft.

A = 1/2 cb

a = 1/2 (5 ft) (7 ft)

a = 17.5 sq. ft

find the area of the rectangle

A = lw

a = (11 ft.)(5 ft.)

a = 55 sq. ft

Then add all together

2(27.5 sq.ft) + 2(17.5 sq. ft) + 55 sq.ft. = 145 sq. ft.