Posted by **jasmin** on Thursday, December 29, 2011 at 3:29pm.

you are using tiles to make a picture frame for a square photograph with sides 10 inches long. You want the frame to form a uniform border around the photograph, You have enough tiles to cover 300 square inches. What is the largest possible frame width?

- algebra 2 -
**Reiny**, Thursday, December 29, 2011 at 4:33pm
let the width of the border be x inches

then

(10+2x)^2 - 100 ≤ 300

100 + 40x + 4x^2 - 100 - 300 ≤ 0

x^2+ 10x - 75 ≤ 0

(x+15)(x-5) ≤ 0

x = 5

So the largest frame is 20 by 20

check: Area of whole frame = 400

area of photo = 100

area of tiles = 300

- algebra 2 -
**Eric**, Thursday, December 29, 2011 at 4:34pm
The largest possible frame width is 17 inches long per side.

## Answer this Question

## Related Questions

- Math - You are using glass tiles to make a picture frame for a square photograph...
- algebra - a square photograph measuring 8 inches by 8 inches is positioned ...
- math - a picture frame containing a photogragh is 11 inches wide and 14 inches ...
- math - A photograph measuring 8 inches by 6 inches is surrounded by a mat. The ...
- Math - A photograph measuring 8 inches by 6 inches is surrounded by a mat. The ...
- Math - Brandy plans to frame a picture with a sheet of construction paper. Her ...
- math133 - a photograph measures 9 in by 12 in. earl put it in a frame that ...
- Maths - Hi im doing measurement at skool at the moment and i cant quite ork out ...
- Maths - Hi im doing measurement at skool at the moment and i cant quite ork out ...
- algebra - the area of a rectangular picture frame is 30 1/3 square inches. the ...

More Related Questions