Question

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50 POINTS!!!!! PLZ HELP

Answer 1

The area of the rectangle is A = (length)(width) = (9√3 + 9) = 9(1 + √3)

Explanation:

The side opposite the 60 degree angle is found from sin 60 degrees = opp/hyp, or sin 60 degrees = opp/18 m. Thus, opp = (18 m)(√3/2). This is the length of the rectangle.

The side adjacent to the 60 degree angle is found through:

cos 60 degrees = adj / (18 m). Thus, adj = (18 m)(1/2) = 9 m.

Let's now find the perimeter of the rectangle. It is:

P = 2L + 2W = 2(9√3 m) + 2(9 m) = 18(√3 m + 1 m) = 18(1 + √3) m = perimeter

Answer 2

Explanation:

The side opposite the 60 degree angle is found from sin 60 degrees = opp/hyp, or sin 60 degrees = opp/18 m. Thus, opp = (18 m)(√3/2). This is the length of the rectangle.

The side adjacent to the 60 degree angle is found through:

cos 60 degrees = adj / (18 m). Thus, adj = (18 m)(1/2) = 9 m.

Let's now find the perimeter of the rectangle. It is:

P = 2L + 2W = 2(9√3 m) + 2(9 m) = 18(√3 m + 1 m) = 18(1 + √3) m = perimeter

The area of the rectangle is A = (length)(width) = (9√3 + 9) = 9(1 + √3)