Posted by **Quince** on Tuesday, October 15, 2013 at 4:07pm.

1) A rectangle has perimeter 38 feet and an area of 78 square feet. Find the dimensions of the rectangle assuming the width is smaller than the length.

L= W=

2) A rectangular canvas picture measures 9 inches by 7 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 120 square inches. Find the uniform width of the frame.

- Algebra 0110 College -
**Steve**, Tuesday, October 15, 2013 at 4:16pm
LW = 78, so L = 78/W

L+W = 19

78/W + W = 19

W^2 - 19W + 78 = 0

W=6,L=13

for the picture, if the frame has width w, then

(7+2w)(9+2w) = 120

now just solve for w.

Just by looking, I'd say that 10x12 = 120, so w=1.5

## Answer This Question

## Related Questions

- Algebra Homework, HELP! - 1) A rectangle has an area of 297 square inches and a...
- Algebra - The length of a rectangle exceeds twice its width by 4 feet. If the ...
- math - The length of a rectangle is 10 feet more than twice its width. The ...
- algebra - the area of a rectangle is 425 square feet. if the perimeter is 84 ...
- basic geometric - 10. a rectangle has width the same as a side of a square whose...
- algebra - The length of a rectangle is 8 feet more than its width. If the width ...
- Geometry - The perimeter of a rectangle is 76 feet. If the width is doubled and ...
- Geometry - The length of a rectangle is 3x+10 feet and its width is x+12 feet. ...
- math - The length, l, of a rectangle is 2 feet less than three times the width, ...
- grade 3 math - 1) what is the greates perimeter of a rectangle with an area of ...

More Related Questions