Posted by **JEFF BOMB** on Tuesday, January 5, 2010 at 8:10pm.

Abigail Adventuresome took a shortcut along the diagonal of a rectangular field and saved a distance equal to 1/3 the length of the longer side.Find the retio of the length of the shorter side of the rectangle to that of the longer side.

- Math -
**Reiny**, Tuesday, January 5, 2010 at 9:47pm
let the longer side be x and the shorter side by y

then the hypotenuse is √(x^2 + y^2)

We are told

√(x^2 + y^2) = x + x/3

√(x^2 + y^2) = 4x/3

square both sides

x^2 + y^2 = 16x^2/9

9x^2 + 9y^2 = 16x^2

9y^2 = 7y^2

take √ of both sides, using only the positive case

3y = (√7)x

y/x = √7/3

y:x = √7 : 3

- Math -
**laura**, Monday, March 22, 2010 at 9:47pm
that actually is wrong because i found the answer to that in the back of my book and the answer is 5/12, but i have no idea how to get to that answer

## Answer This Question

## Related Questions

- Pre-Cal - The diagonal and the longer side of a rectangle make an angle of 43.2...
- algebra - The diagonal and the longer side of a rectangular plot are together ...
- Math - Polygons and Quadrilaterals - A rectangle has a diagonal of length 125. ...
- MATHS - A diagonal of a rectangle forms an angle of 60 degree with each of the ...
- Geometry help - A parallelogram has a 7-inch side and a 9-inch side, and the ...
- Math - Checking my son's homework and want to see if he figured this out ...
- Geometry need help pls - A. A parallelogram has a 7-inch side and a 9-inch side...
- math - A square and a rectangle have equal areas. The length of the rectangle is...
- Math - Justin rides his bike in a rectangular route. He knows the total ...
- basic geometry - A rectangle has width the same asa a side of a square whose ...

More Related Questions