Posted by **Zach** on Saturday, November 21, 2009 at 5:18pm.

The perimeter of a rectangle is 34 feet and the area measures 60 square feet.

What are the length and width of the rectangle?

(Hint: Use the equations :

perimeter = times the sum of the length and the width

area = length times width)

- Math -
**RIFA**, Saturday, November 21, 2009 at 6:51pm
94

- Math -
**Reiny**, Saturday, November 21, 2009 at 7:47pm
2(l+w) = 34

l+w = 17 ,#1

lw = 60 , #2

from #1, w = 17-l

in #2

l(17-l) = 60

-l^2 + 17l - 60 = 0

l^2 - 17l + 60 = 0

(l-5)(l-12) = 0

so l=5 or l=12

if l=5 then w = 12

if l=12 then w = 5

The rectangle is 5 by 12

## Answer this Question

## Related Questions

- basic geometric - 10. a rectangle has width the same as a side of a square whose...
- Math - The perimeter of a rectangle is 52 feet. The length is 2 feet shorter ...
- Geometry - The length of a rectangle is 3x+10 feet and its width is x+12 feet. ...
- algebra - What is the width of a rectangle with a perimeter of 70 feet if its ...
- maths - the length of a rectangle is 3 less than 5 times its width. Write a ...
- math - The length, l, of a rectangle is 2 feet less than three times the width, ...
- algebra - the area of a rectangle is 425 square feet. if the perimeter is 84 ...
- Algebra Homework, HELP! - 1) A rectangle has an area of 297 square inches and a...
- Geometry - The perimeter of a rectangle is 76 feet. If the width is doubled and ...
- grade 3 math - 1) what is the greates perimeter of a rectangle with an area of ...