50. Complementary Angles See Problem 49. If one angle is 30° less than twice its

Question

50. Complementary Angles See Problem 49. If one angle is 30° less than twice its complement, find the measures of the two angles. 7 51. Dimensions of a Window The perimeter of a rectangular window is 26 feet. The width of the window is 3 feet more than the length. What are the dimensions of the window? rts 52. Dimensions of a Window The perim eter of a r window is 120 inches. The length of the ns ula rectang window is twice its width. What are t the window? he dimensio Art An artist wants to place a piece of round stained glass into a square that is made of copper 53. the figure. If the perimeter of the square of the largest circular

Explanation / Answer

Given that the perimeter of the rectangular window = 26 feet

width of window is 3 feet more than the length.

implies, w = l+3.........(1)

But we know that the perimeter of a rectangle = 2(l+w)

equating both perimeters we get,

2(l+w) = 26

l+w = 13

But from (1) , substitute the value of w, we get

l+(l+3) = 13

2l = 13-3

l = 10/2

l = 5

width = l+3 = 5+3 = 8

The dimensions of the window are: its length = 5 feet and the width = 8 feet

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