SOLUTION: A vacant rectangular lot is being turned into a garden measuring 15m. by 12. with a pathof uniform width surrounding the garden. if the area of the lot is 378sq.m. Find the width o
Algebra.Com
Question 124389: A vacant rectangular lot is being turned into a garden measuring 15m. by 12. with a pathof uniform width surrounding the garden. if the area of the lot is 378sq.m. Find the width of the path surrounding the garden. If any one can help me with this i will be very pleased.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
15*12=180 IS THE GARDEN AREA.
(15+2X)(12+2X)=378
180+24X+30X+4X^2=378
4X^2+54X+180-378=0
4X^2+54X-198=0
(2X-6)(2X+33)=0
2X-6=0
2X=6
X=6/2
X=3M IS THE WIDTH OF THE PATH.
PROOF
(15+6)(12+6)=378
21*18=378
378=378
RELATED QUESTIONS
A vacant rectanglar lot is been turned into a community vegetable garden measuring 15m.by (answered by scott8148)
A vacant rectangular lot is turned into a garden measuring 39 feet wide by 64 feet. A... (answered by josgarithmetic,ikleyn)
A vacant lot is being converted into a community garden. The garden and the walkway... (answered by josmiceli)
A vacant lot is being converted into a community garden. The garden and the walkway... (answered by ikleyn)
A vacant lot is being converted into a community garden. The garden and the walkway... (answered by ikleyn)
A vacant lot is being converted into a community garden. The garden and the walkway... (answered by ikleyn)
A vacant lot is being converted into a community garden. The garden and the walkway... (answered by ikleyn)
A rectangular garden which is 12ft by 16ft is surrounding by a walkway which is a uniform (answered by Stitch)
A 15m by 21m rectangular garden is to have a gravel path of uniform width bordering it.... (answered by ankor@dixie-net.com)