SOLUTION: A rectangular field has a perimeter of 220 meters and an area of 2,856 square meters. What are its dimensions?

Algebra.Com
Question 329568: A rectangular field has a perimeter of 220 meters and an area of 2,856 square meters. What are its dimensions?

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
L+W=110
L*W= 2856
..
w=110-L
L*(110-L)=2856
110L-L^2=2856
L^2-110L+2856=0
L^2_68L-42L+2856=0
L(L-68)-42(L-68)=0
(L-68)(L-42)=0
L=62 OR 48
The dimensions are 62 by 48 meters

RELATED QUESTIONS

A rectangular goat pen has an area of 220 square meters. Its perimeter is 62 meters. What (answered by solver91311)
The perimeter of a rectangular field is 60 meters. Its area is 2, square meters. What are (answered by Alan3354)
A soccer field has a perimeter of 288 meters and an area of 4,860 square meters. What are (answered by math_tutor2020,ikleyn)
if the are of a rectangular field is 48 square meters and its perimeter is 32 meters,... (answered by ikleyn)
The perimeter of a rectangular pool is 32 meters, and it's area is 48 square meters, What (answered by ikleyn)
The bottom of a rectangular swimming pool has an area of 570 square meters. Its perimeter (answered by josgarithmetic)
A rectangular cement patio has an area of 80 square meters. Its perimeter is 36 meters.... (answered by josgarithmetic,macston)
A rectangular lawn has an area of 280 square meters. Its perimeter is 68 meters. What are (answered by Alan3354)
If the perimeter of a rectangular field is 60 meters. Its area is 200 square meters.... (answered by Cromlix)