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?
1,647 inches2
1,647 inches squared
660 inches2
660 inches squared
2,038 inches2
2,038 inches squared
1,153 inches2
To find the area of each oblique triangle shelf, we can use the formula: Area = (1/2) * side1 * side2 * sin(angle)
In this case, side1 = 22 inches, side2 = 35 inches, and the angle = 87 degrees.
Area = (1/2) * 22 * 35 * sin(87)
≈ 660 inches²
Since there are three identical shelves, Jasmira needs 3 * 660 inches² = 1,980 inches² of paper.
Rounding to the nearest square inch, Jasmira needs 1,980 inches² of paper, which is closest to 2,038 inches².
Therefore, Jasmira needs to buy 2,038 inches² of paper.