Posted by **Anna** on Tuesday, July 26, 2011 at 1:04am.

a rectangular picture frame measures 8 inches by 4 inches. You want to triple the frame's area by adding the same distance, x, to the length and width.

Find the value of x and find the new dimensions of the frame.

How do you do this?? Please show work

- Alg 2 -
**Anonymous**, Tuesday, July 26, 2011 at 2:12am
L = Lenght = 8 in

W = Width = 4 in

A = Area = L*W = 8*4 = 32 in^2

3A = 3*32 = 96 in^2

(L+x)*(W+x) = 3A

(8+x)*(4+x) = 96

4*8 + 4*x + x*8 + x*x = 96

32 + 4x + 8x + x^2 = 96

x^2 + 12x + 32 - 96 = 0

x^2 + 12x - 64 = 0

The exact solutions of this equation are:

x = 4

and

x = -16

Distance can't be negative so:

x=4

(8+4) * (4+4) = 12 * 8 = 96 in^2 = 3A

- Alg 2 -
**Anonymous**, Tuesday, July 26, 2011 at 2:15am
The new dimensions of the frame are:

Lenght = 8+4 = 12 in

Width = 4+4 = 8 in

## Answer This Question

## Related Questions

- algebra - the area of a rectangular picture frame is 30 1/3 square inches. the ...
- Algebra 0110 College - 1) A rectangle has perimeter 38 feet and an area of 78 ...
- Algebra Homework, HELP! - 1) A rectangle has an area of 297 square inches and a...
- algebra 1 - A picture that measures 7 inches by 7 inches is being framed. The ...
- 10th grade math - a rectangular picture 8 inches by 12 inches has a frame of ...
- algebra - A 3 by 5 inch picture is put into frame with a mat that has width x. ...
- Math - Hello there! Could You please help me with this Geometry word problem? ...
- Math - Hello there! Could You please help me with this Geometry word problem? ...
- Algebra - A rectangular picture is 4 inches longer than it is wide. The picture ...
- College Algebra - If the length of molding to create the frame is 96 inches. If ...

More Related Questions