Posted by **JAZZY** on Wednesday, November 24, 2010 at 9:55am.

A rectangle has length & width in the ratio of 3:2.If the length is increased by 8 & width is increased by 50%.The ratio of new perimeter to original perimeter is 8:5.Find the area of new rectangle

- maths -
**Reiny**, Wednesday, November 24, 2010 at 11:44am
let the length be 3x and

let the width be 2x

new length = 3x + 8

new width = 1.5(2x) = 3x

original perimeter = 2(3x) + 2(2x) = 10x

new perimeter = 2(3x+8)+ 2(3x)

= 12x + 16

(12x+16)/(10x) = 8/5

80x = 60x + 80

20x = 80

x = 40

so new length = 3(40)+8 = 128

new width = 3(40) = 120

new area = 128x120 = 15360

use the suitable units, you gave none.

- error - maths -
**Reiny**, Wednesday, November 24, 2010 at 12:34pm
"20x = 80

x = 40 "

How silly of me ! , that should have been

x = 4

so new rectangle is 20 by 12 for an area of 240

- maths -
**brelan**, Monday, April 7, 2014 at 2:58pm
5yd 6yd u

## Answer This Question

## Related Questions

- Maths - A rectangle has legth & width in the ratio of 3:2.If the length is ...
- maths - the length of a rectangle is 3 less than 5 times its width. Write a ...
- math - The length of a rectangle is twice the width. If the length is increased ...
- Math - Determine the perimeter and area of a rectangle that has a width of 6 ...
- algebra1 - The length of a rectangle is twice the width. If the length is ...
- Algebra - The width of a rectangle is 1/6 the length. If the length and the ...
- basic geometric - 10. a rectangle has width the same as a side of a square whose...
- basic geometry - A rectangle has width the same asa a side of a square whose ...
- math - a rectangle is twice as long as it is wide. if both of its dimensions are...
- algebra - Perimeter of a rectangle. The width of a rectangle is three fourths of...

More Related Questions