Posted by **Kalem** on Tuesday, May 17, 2011 at 4:21pm.

A rectangle measures 6 inches in length by 9 inches in width. If the rectangle will be enlarged by 250%, what will be the lengths of the sides of the new rectangle?

What percent bigger is the perimeter of the new rectangle, compared to the original?

- geometry -
**Reiny**, Tuesday, May 17, 2011 at 5:01pm
original area = 54 in^2

new area = 54(2.5) = 135 in^2

Assuming the new rectangle is similar to old one,

length = 9x , width = 6x

54x^2 = 135

x^2 = 2.5

x = √2.5 = 1.58

new length = 9(1.58) = appr. 14.23 in

new width = 6(1.58) = 9.49 in

percentage increase of perimeter = 58%

new perimeter is 158 % of old one

## Answer This Question

## Related Questions

- Algebra 1 - The perimeter of a rectangle equals the sum of the lengths of its ...
- geometry - The perimeter of the rectangle is 19 inches. The perimeter of the ...
- Math - A 5 inch by 8 inch rectangle is enlarged to a similar rectangle whose ...
- algebra - The perimeter of a rectangle equals the sume of the lengths of its ...
- algebra - The perimeter of a rectangle equlas the sum of the lengths of its four...
- MTH208 - The perimeter of a rectangle equals the sum of the lengths of its four ...
- Algebra - The perimeter of a rectangle equals the sum of its lengths of its 4 ...
- Basic Algebra - The width of a rectangle is x inches long. The length of that ...
- math - The width of a rectangle is x inches long. The length of that rectangle ...
- math ,correction - Directions: Solve each of the following problems. Be sure to ...

More Related Questions