Question

Jasmira has a new corner shelving unit that is triangular. The unit has three identical oblique triangle shelves. Jasmira wants to put some shelving paper down but isn’t sure how much to buy. If one side of each triangle is 22 inches, an adjoining side is 35 inches, and the angle formed between them is 87 degrees, then how much paper (to the nearest square inch) does she need to cover all 3 shelves?(1 point)
Responses

660 in2
660

𝑖
𝑛
2
660 in2
660

𝑖
𝑛
2

1,647 in2
1
,
647

𝑖
𝑛
2
1,647 in2
1
,
647

𝑖
𝑛
2

1,153 in2
1
,
153

𝑖
𝑛
2
1,153 in2
1
,
153

𝑖
𝑛
2

2,038 in2
2
,
038

𝑖
𝑛
2
2,038 in2

Answer 1

Area of one shelf = (1/2)(22)(35) sin 87° = 385 sin 87° ≈ 384.47 in².
For 3 shelves: 3 × 384.47 ≈ 1153.42 in², which rounds to 1153 in².