math question help (10 points)?
2016-02-19 10:26 pm
A square and a rectangle have the same area. The length of the rectangle is 3 meters more than the length of a side of the square.The width of the rectangle is 2 meters less than the length of a side of the square. Find the length of each side of the square.
回答 (1)
2016-02-19 11:14 pm
Let y meters be the length of each side of the square.
Area of the square = y² square meters
Length of the rectangle = (y + 3) meters
Width of the rectangle = (y - 2) meters
Area of the rectangle = (y + 3)(y - 2) square meters
Area of the rectangle = Area of the square
(y + 3)(y - 2) = y²
y² + y - 6 = y²
y - 6 = 0
y = 6
Length of each side of the square = 6 meters
Area of the square = y² square meters
Length of the rectangle = (y + 3) meters
Width of the rectangle = (y - 2) meters
Area of the rectangle = (y + 3)(y - 2) square meters
Area of the rectangle = Area of the square
(y + 3)(y - 2) = y²
y² + y - 6 = y²
y - 6 = 0
y = 6
Length of each side of the square = 6 meters
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