Sunday

November 23, 2014

November 23, 2014

Posted by **Amanda** on Saturday, October 27, 2007 at 1:14am.

A developer wants to build homes on a rectangular plot of land 4 kilometers long and 3 kilometers wide. In this part of the city, regulations require a greenbelt of uniform width along two adjacent sides. The greenbelt must be 10 times the area of the development. Find the width of the greenbelt.

- Precalculus/Trigonometry -
**drwls**, Saturday, October 27, 2007 at 2:25amLet the greenbelt width be x. The developed area is (5-x)*(4-x). The greenbelt area is 5x + (4-x)x = 9x - x^2

The requirement is

9x - x^2 = 10 *(x^2 -9x +20)

11 x^2 -99 x +200 = 0

x^2 - 9x + 200/11 = 0

The labeled diagram is one rectangle nested inside a larger triangle with one pair of corners aligned, and a gap of x along the two perpendicular opposite sides

**Answer this Question**

**Related Questions**

pre-calculus - A developer wants to build homes on a rectangular plot of land 4...

Math - Please help!!! Scott bought 54m of fencing to enclose a rectangular plot ...

business Calc - A real estate developer would like to analyze his revenue,cost ...

science - How should I draw a diagram for this question below? During a hot ...

Math - A developer can buy a plot of land 90-yd x 50-yd for $15,000 or a plot of...

Precalculus - An airplane is flying due west at a velocity of 100 m/s. The wind ...

math - A land developer wants to develop 20 acres of land. Each lot in the ...

math - a developer plans to build a house around a 100ft 10,000 sq ft lake. ...

math - A rectangular plot of land is to be seeded with grass if the plot is 22m ...

Word Problem - A developer wants to enclose a rectangular grassy lot that ...