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A rectangular plot of ground is 30 meters longer than it is wide. its area is 10,000 square meters.

A rectangular plot of ground is 30 meters longer than it is wide. its area is 10,000 square meters.
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A rectangular plot of ground is 30 meters longer than it is wide. its area is 10,000 square meters.

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User Sabbir Rahman
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8.3k points

1 Answer

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A = W· L
10,000 = W ( W +30 ) = W² + 30 W
W² + 30 W - 10,000 = 0
W =
(-30+ √(900+40000) )/(2)= (-30+202.24)/(2) = 86.12
L = 86.12 + 30 = 116.12
Width of a plot is 86.12 m and lenght is 116.12 m.
Check : A = 116.12 · 86.12 ≈ 10,000
answered
User Tushar Sharma
by
8.3k points
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