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
1,647 inches2
1,647 inches squared
2,038 inches2
2,038 inches squared
660 inches2
660 inches squared
1,153 inches2
The area of an oblique triangle can be calculated using the formula 0.5 * a * b * sin(C), where a and b are the lengths of the sides and C is the angle between them.
For each shelf:
Area = 0.5 * 22 * 35 * sin(87)
Area ≈ 2,038 inches squared
Since Jasmira has three identical shelves, she will need to cover a total of 3 * 2,038 = 6,114 inches squared of shelving paper.
Therefore, Jasmira will need 6,114 inches squared of shelving paper to cover all three shelves. The closest option is 2,038 inches squared.