Question

Sheets of canvas have been hung over the waiting lines to provide shade. Each canvas sheet is in the shape of a triangle with side lengths of 50 feet, 75 feet, and 75 feet. What is the area of each canvas sheet?

A.2812.5 square feet
B.1875.0 square feet
C.1767.8 square feet
D.530.3 square feet
E.No such triangle is possible.

Answer 1

C.1767.8 square feet

Explanation:

use heron's formula to solve (see attached)

perimeter = 50 + 75 + 75 = 200 feet

p = perimeter / 2 = 200/2 = 100

from heron's formula

A = √ [ p(p-a)(p-b)(p-c)]

= √[100 (100-50)(100-75)(100-75) ]

= √[100·50·25·25 ]

=√3,125,000

= 1767.77 (within rounding errors, closest answer is C)