SOLUTION: the perimeter of a rectangle is 60 meters and the area is 221 square meters. Find its dimensions

Question 916735: the perimeter of a rectangle is 60 meters and the area is 221 square meters. Find its dimensions
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
the perimeter of a rectangle is 60 meters and the area is 221 square meters. Find its dimensions
***
let x=length of rectangle
let y=width of rectangle
2x+2y=perimeter
2x+2y=60
x+y=30
y=30-x
length*width=area
xy=221
x(30-x)=221
30x-x^2=221
x^2-30x+221=0
(x-13)(x-17)
x=13
or
x=17
dimensions:
length=17 m
width=13 m
RELATED QUESTIONS
The perimeter of a rectangle is 26 meters and its area is 40 square meters. Find the... (answered by josgarithmetic)

If the perimeter of a rectangular field is 60 meters. Its area is 200 square meters.... (answered by Cromlix)

Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40... (answered by KnightOwlTutor,jojo14344)

Find the dimensions of a rectangle whose area is 180 square meters and whose perimeter is (answered by palanisamy)

Find the dimensions of a rectangle whose perimeter is 14 meters and whose area is 12... (answered by rfer)

Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40... (answered by mananth)

find the dimensions of a rectangle whose perimeter is 20 meters and whose area is 21... (answered by josgarithmetic)

Find the dimensions of a rectangle whose perimeter is 22 meters and whose area is 30... (answered by josgarithmetic)

The perimeter of a rectangle is 64 meters and its area is 253m^2. Find the dimensions of... (answered by josgarithmetic)