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.

C.1767.8 square feet

Step-by-step 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)

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.