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Question

Taylor purchased a rectangular plot of area 634m2. The length of the plot is 2 more than thrice its breadth. Find the length and breadth (approximate values).


A

34.6m & 11.20m

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B

88m & 24m

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C

32m &16m

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D

44.6m & 14.20m

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Solution

The correct option is D

44.6m & 14.20m


Let x and y be the length and breadth of the rectangle respectively.

Given, x= 2+3y

Area of the rectangle = length × breadth = xy

634= (2+3y)y

634= 2y+3y2

So, 3y2 +2y- 634 = 0

By solving the quadratic equation, we get, x = 44.6m and y = 14.20m (approximately).


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