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 thats 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.

## Answer this Question

## Related Questions

- Math - chris cuts half a rectangular lawn, 40m by 30m, by mowing strips of equal...
- Math - Venski and his brother have each agreed to mow half of the front lawn, ...
- math - Nala and her cousin agreed that they would each mow one-half of the lawn...
- Math - A rectangular lawn is 60meters by 80meters. A part of the lawn is torn ...
- Math 12A - A rectangular building is to be built on a lot measuring 46m by 30m...
- Math - 1. A gardener has 30 feet by 20 feet rectangular plot of ground. He wants...
- Math 12A - A rectangular building is to be built on a lot measuring 46m by 30m. ...
- Math - Jackie mows a strip of uniform width around her 25 m by 15 m rectangular ...
- Algebra - Lisa, Nicole, and Amber are to mow a rectangular lawn that measures ...
- math - i am really stuck on this application problem in my quadratic equations ...