Rectangular Lot
Geometry
Level
2
Marvin bought a rectangular lot measuring 100 yards long and 60 yards wide. To double the area of the lot while retaining the rectangular shape, strips of equal width will be added at one end and along one side. How wide is the new rectangular lot?
98.765 yards
- 755 yards
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1 solution
original area, A = 100*60 = 6000 square yards
new area, 2A = 2*6000 = 12000 square yards
let x be the width of the strip added along one end and a long one side
new length of the lot is
100 + x
new width of the lot is
60 + x
1200 = (100 + x)(60 + x)
1200 = 6000 + 100x + 60x + x^2
x=31.355
the new width of the rectangular lot is
60 + x = 60 + 31.355 = 91.355 yards