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Area = 640 sq. m
Length = X m (given)
Area = length x width
640 = X x width
Width = 640/X
Perimeter = 104 m
Perimeter = 2(length + width)
104 = 2(X+640/X)
X + 640/X = 104/2
X + 640/X = 52
Multiply the equation by X
X^2 + 640 = 52X
X^2 - 52X + 640 = 0
X^2 - 32X - 20X + 640 = 0
X(X-32) - 20(X-32) = 0
(X-20)(X-32) = 0
Thus, X = 20 or 32 m
So the dimensions are 20m and 32m
Hope it helps :)
Pls mark as brainliest :)
Length = X m (given)
Area = length x width
640 = X x width
Width = 640/X
Perimeter = 104 m
Perimeter = 2(length + width)
104 = 2(X+640/X)
X + 640/X = 104/2
X + 640/X = 52
Multiply the equation by X
X^2 + 640 = 52X
X^2 - 52X + 640 = 0
X^2 - 32X - 20X + 640 = 0
X(X-32) - 20(X-32) = 0
(X-20)(X-32) = 0
Thus, X = 20 or 32 m
So the dimensions are 20m and 32m
Hope it helps :)
Pls mark as brainliest :)
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