Posted by **sydney** on Monday, December 19, 2011 at 8:54pm.

A rectangular parcel of land is 70 ft longer than it is wide. Each diagonal between opposite corners is 130 ft. What are the dimensions of the parcel?

The answer is 50 ft by 120 ft, but I don't know how to find the answer

- algebra -
**Steve**, Tuesday, December 20, 2011 at 4:29am
The structure of the problem should give yu a hint. The diagonal of a rectangle forms a right triangle with the sides. So, think Pythagorean Theorem.

If the length is x and the width is y,

(y+70)^2 + y^2 = 130^2

y^2 + 140y + 4900 + y^2 = 16900

2y^2 + 140y - 1200 = 0

y^2 + 70y - 6000 = 0

(y-50)(y+120) = 0

y=-120 isn't useful, but

y=50 works fine, making x=120

You might have also saved yourself some work by recalling that one of the standard integer-sided right triangles is 5-12-13, and seeing that 50-120-130 would fit your conditions.

## Answer this Question

## Related Questions

- Math - A rectangular parcel of land is 70 ft longer than it is wide. Each ...
- College Algebra - A rectangular parcel of land is 20 ft longer than it is wide. ...
- Math - A rectangular parcel of land has an area of 2,000 ft2. A diagonal between...
- pre cal - A rectangular parcel of land has an area of 4,000 ft2. A diagonal ...
- Int Alegbra - I need some help. A parcel of land is 6 ft longer than it is wide...
- physics - Suppose a spherical planet P has a uniform density of 4.96*10^3 kg/m^3...
- Science - Assume that a parcel of air is forcd to rise up and over a 6000 foot ...
- Science - Assume that a parcel of air is forcd to rise up and over a 6000 foot ...
- physics - 1. A jet is flying with an air speed of 500 m/s. A parcel is dropped ...
- physics - 1. A jet is flying with an air speed of 500 m/s. A parcel is dropped ...

More Related Questions