Posted by **11th grade** on Tuesday, March 27, 2012 at 10:10pm.

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.

- URGENT MATH please -
**Reiny**, Tuesday, March 27, 2012 at 10:29pm
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.

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