Posted by **Roy** on Monday, September 14, 2009 at 9:23pm.

a rectangle is 3 times as wide as a square. the rectangle's length is 15 ft shorter than 5 times the square's length. Given that the sum of the two perimeters must be less than 150 ft, find the set of all possible lengths for the rectangle

- Math -
**bobpursley**, Monday, September 14, 2009 at 9:35pm
I see from the first statement that since the rectangle length is 15ft less than five times the sqare side, the square side cannot be less than 3.

lets make it 3.01 for the square. Now, the width of the rectangle then will be 3.01x3, or 9.03 width, and length .05.

So that is the smallest rectangle and the smallest square.

Now the largest: Perimerter sum <150

150>4s+2w+2l

150>4s+2*3s + 2*(15-5s)

solve for s, then w, then l.

## Answer This Question

## Related Questions

- math - The length of a rectangle is three times the length of a side of a square...
- math - Two less than three times the width of a rectangle is equal to the length...
- math-word problems with quadratics - I have 5 questions... 1) The sum of two ...
- Algebra Homework, HELP! - 1) A rectangle has an area of 297 square inches and a...
- math - The length, l, of a rectangle is 2 feet less than three times the width, ...
- mensuration - the area of square is 4 times the area of rectangle .the length of...
- Math - The length and width of a rectangle are (x+4)cm and xcm respectively. ...
- math - A square has the same area as a rectangle whose longer side is 2 times ...
- basic geometric - 10. a rectangle has width the same as a side of a square whose...
- Algebra - The side of a square equals the length of a rectangle. The width of ...

More Related Questions