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Question
The length of a rectangle is twice the side of a square and its width is 6 cm greater than the side of the square. If the area of the rectangle is three times the area of the square; find the dimensions of each.
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Solution
Let a be the length of the sides of the square.
According to the question,
2a x ( a + 6 ) = 3a2
2a2 + 12a = 3a2
a = 12
Hence sides of the square are 12 cm each and
Length of the rectangle = 2a = 24 cm.
Width of the rectangle = a + 6 = 18 cm.
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