An architect designs rectangular flower garden such that the width is exactly 2/3 of the length. of 290 ft of antique picket fencing are to be used to enclose the garden find the dimensions of the garden

Length (L): L

width (w): (2/3)L

Perimeter (P) = 2L + 2w

               290 = 2(L) + 2(2/3)(L)

               870 = 6L + 4L

               870 = 10L

                87 = L

width (w): (2/3)L   = (2/3)(87)   = 2(29)   = 58

width = 58 ft, length = 87 ft

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

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