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The side of a square equals the width of a rectangle the length of the rectangle is 6 meters longer than its width the sum of the areas of the square and the rectangle is 176 sq meters?
Wiki User
∙ 14y ago
Let L be the length of the rectangle.
Since the length of the side of the square is the same as the width of the rectangle and the width of the rectangle is its length minus 6, the length of the side of the square is (L-6) and the area is (L-6)2. Since the width of the rectangle is its length minus 6, its area is L(L-6).
Here is some of the work:
176 = (L-6)2 + L(L-6)
176 = (L-6)(L-6) + L(L-6)
176 = L2 - 6L - 6L + 36 + L2 - 6L
176 = 2L2 - 18L + 36
140 = 2L2 - 18L
70 = L2 - 9L
70/L = L - 9
(9L + 70)/L = L
L = (9L+70)/L
L2 = (9L+70)
L = sqrt(9L+70)
According to WolframAlpha (www.wolframalpha.com), L=14. (But don't say L; use x).
The length of the side of the square is 8 m, which is also the width of the rectangle; the length of the rectangle is 14 m; the area of the square is 64 m2; and the area of the rectangle is 112 m2.
Wiki User
∙ 14y ago
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= If a rectangle is 10 meters longer than its width what is its width? =
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The length is usually taken to be the longer of the two sides of a rectangle. In this case, therefore, the length is 36 metres.
What units would you use to measure the area of a rectangle with length equals 1 m and width equals 34 cm?
you can either convert meters to centimeters or centimeters to meters.
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= If a rectangle is 10 meters longer than its width what is its width? =
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