SOLUTION: A rectangle has perimeter 50 cm and area 150 cm^2. find the dimensions of the rectangle.

Question 485254: A rectangle has perimeter 50 cm and area 150 cm^2. find the dimensions of the rectangle.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A rectangle has perimeter 50 cm and area 150 cm^2. find the dimensions of the rectangle
***
let x=length of rectangle
let y= width of rectangle
..
Area = length*width=x*y=150
Perimeter= 2x+2y=50
x+y=25
y=25-x
x(25-x)=150
25x-x^2=150
x^2-25x+150=0
(x-10)(x-15)=0
x=10
or
x=15
ans:
length of rectangle=15 cm
width of rectangle =10 cm
RELATED QUESTIONS
a rectangle has an area of 132 cm ^2 and a perimeter of 56 cm. find the dimensions of the (answered by josgarithmetic)

A rectangle has a perimeter of 200 cm and an area of 240 cm^2. Find the dimensions of the (answered by josgarithmetic)

A rectangle has an area of 100 cm^2 and a perimeter of 50 cm. What are its dimensions? (answered by lmc22391)

Find the dimensions of a rectangle whose area is 154 cm2 and whose perimeter is 50... (answered by JulietG)

Find the dimensions of a rectangle whose area is 156 cm2 and whose perimeter is 50... (answered by Alan3354,ikleyn)

A rectangle has a perimeter of 50 cm. Is it possible to have an area of 136 cm^2? If so,... (answered by stanbon)

a rectangle has an area of 36 inches squared cm2 and a perimeter of 54 cm . find the... (answered by Alan3354,ewatrrr)

The legnth of a rectangle is 15 cm more than its width. A blue rectangle which is 5 cm... (answered by kimboo)

The length of a red rectangle is 15 cm more than its width w. A blue rectangle, which is... (answered by drj)