16rosarios 16rosarios

27-06-2016
Mathematics

Answered

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

Verified Answer :

HomertheGenius HomertheGenius

06-07-2016

A = W· L
10,000 = W ( W +30 ) = W² + 30 W
W² + 30 W - 10,000 = 0
W = \(\frac{-30+ \sqrt{900+40000} }{2}= \frac{-30+202.24}{2} = 86.12\)
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

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