Asked by 11th grade
Chris cuts half a rectangular lawn, 40m by 30m, by mowing strips of equal width around the perimeter. Jerri cuts the small rectangle in the middle that's left. How wide a strip does Chris cut so that they share the work equally?
Solve by using quadratic formula.
Solve by using quadratic formula.
Answers
Answered by
Reiny
Did you make a sketch ?
Let the width of the cut done by Chris be x m
That leaves a rectangle of 40-2x by 30-2x to be cut by Jerri.
(40-2x)(30-2x) = (1/2)(40)(30)
4x^2 - 140x + 1200 = 600
x^2 - 35x + 150 = 0
(x-5)(x-30) = 0
x = 5 or x = 30 , but x = 30 makes no sense
x = 5
The strip should be 5 m wide.
Let the width of the cut done by Chris be x m
That leaves a rectangle of 40-2x by 30-2x to be cut by Jerri.
(40-2x)(30-2x) = (1/2)(40)(30)
4x^2 - 140x + 1200 = 600
x^2 - 35x + 150 = 0
(x-5)(x-30) = 0
x = 5 or x = 30 , but x = 30 makes no sense
x = 5
The strip should be 5 m wide.
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