Question

Jarom is working for a landscaping company and is responsible for building the stone border around a rectangular pond. The pond measures 6 meters by 15 meters. The manager told Jarom that the budget only allowed enough stone for 46 square meters and to make the stone border as wide as possible. How wide can the border be

Answer 1

The width is 1 meter.

Given,

Jarom is working for a landscaping company and is responsible for building the stone border around a rectangular pond.The pond measures 6 meters by 15 meters. The manager told Jarom that the budget only allowed enough stone for 46 square meters

Let the border be width  = x

then the area of the border will be

2(6x) + 2(15x) +4x2 = 46

= 12x +30x+ 4x2 = 46

= 4x2 + 42x - 46 = 0

=> x =( -42 +- √42² +4*4*46)/8

x =1 , x = -11.5

since the width is 1 meter.

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