SOLUTION: The width of a rectangle is one more than half its length. If the length is tripled and the width left unchanged, the new perimeter would be 58 cm. what is the area of the original

Question 925880: The width of a rectangle is one more than half its length. If the length is tripled and the width left unchanged, the new perimeter would be 58 cm. what is the area of the original rectangle?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The width of a rectangle is one more than half its length. If the length is tripled and the width left unchanged, the new perimeter would be 58 cm. what is the area of the original rectangle?
***
original rectangle:
let x=length
1+x/2=width
new rectangle:
3x=length
1+x/2=(2+x)/2
perimeter=2*length+2*width
6x+2+x=58
7x=56
x=8
..
area of original rectangle=x(1+x/2)=8(1+4)=8*5=40 cm^2
RELATED QUESTIONS
the length of a rectangle is 2 less than 3 times the width .if the width is tripled... (answered by josgarithmetic)

The length of a rectangle is 4 centimeters more than its width. If the length is... (answered by josgarithmetic)

if the width. of a rectangle is 2 centimeters more than one half is length and its... (answered by Cromlix,advanced_Learner)

The length of a rectangle is 8 cm more than its width. If the length is decreased by 9... (answered by josgarithmetic,ikleyn)

A rectangle has a length that is 6 more than its width. If the width is doubled, and the... (answered by ikleyn,josgarithmetic)

The length of a rectangle is 3 less than 5 times of its width. write a simplified... (answered by josgarithmetic,macston,MathTherapy)

please help! The length of a rectangle is 10 meters more than one-half the width. If... (answered by ptaylor)

please help! The length of a rectangle is 10 meters more than one-half the width. If... (answered by jgr45)

The length of a rectangle is 3 less than 5 times of its width. write a simplified... (answered by macston)