SOLUTION: If the perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.

Question 746278: If the perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Using x for length and y for breadth
Perimeter = 2x + 2y = 60
Area = xy = 200
x = 200/y
Substitute x = 200/y
in 2x + 2y = 60
2(200/y)+ 2y = 60
200/y + 2y - 60 = 0
Take to a common denominator
= y
200 + 2y^2 - 60y = 0
rearrange
2y^2 - 60y + 200
2( y^2 - 30y + 100)
2(y - 10)(y - 20)
Substitute y = 10 and y = 20
into 2x + 2y = 60
2x + 2(10) = 60
2x + 20 = 60
2x = 40
x = 20
2x + 2(20) = 60
2x + 40 = 60
2x = 20
x = 10
So either the length is 10 m and breadth is 20m
or
length is 20m and breadth is 10m
RELATED QUESTIONS
Question: The perimeter of a rectangular field is 60 meters. Its area is 200 meters.... (answered by checkley79)

The perimeter of a rectangular field is 60 meters. Its area is 2, square meters. What are (answered by Alan3354)

if the are of a rectangular field is 48 square meters and its perimeter is 32 meters,... (answered by ikleyn)

Hello, please help, I am asked to solve geometric word problems. You can say word... (answered by josgarithmetic)

the perimeter of a rectangle is 60 meters and the area is 221 square meters. Find its... (answered by lwsshak3)

the area of a rectangular field is 94m^2. its perimeter is 38 meters. find the dimension... (answered by josgarithmetic)

The perimeter of a rectangular pool is 32 meters, and it's area is 48 square meters, What (answered by ikleyn)

The perimeter of a rectangular field is 80 meters the area is 320 square meters. Write... (answered by josgarithmetic)

A rectangular field has a perimeter of 220 meters and an area of 2,856 square meters.... (answered by mananth)