Posted by **Carmin** on Tuesday, June 30, 2009 at 10:11pm.

An area, A, consisting of the sum of two squares is 1000. The side of one square is 10 less than 2/3 of the side of the other square. What are the sides of the squares?

- Math Word Problem -
**MathMate**, Tuesday, June 30, 2009 at 10:24pm
Let x,y be the side of each of the squares.

x^{2} + y^{2} = 1000

y=(2/3)x-10

substitute (2/3)x-10 for y in the first equation:

x^{2} + ((2/3)x-10)^{2} = 1000

Expand and solve for the quadratic equation to get x=30 or x=-270/13.

Reject second solution to get x=30, y=10

## Answer This Question

## Related Questions

- Algebra - Babylonian Problem - circa 1800 BC An area, A, consisting of the sum ...
- Algebra - Babylonian Problem - circa 1800 BC An area, A, consisting of the sum ...
- Algebra - An area, A, consisting of the sum of two squares is 1000. The side of ...
- math/algebra - I have a triangle one side = 3 side 2 = square root5 - square ...
- Algebra 2 - Solving By Factoring: The length of the side of a large square is 1 ...
- Calculus - A piece of wire x cm long is to be cut into two pieces, each to bent...
- Math - A Quadratic Word Problem If one side of a square is increased by 2 inches...
- Algebra 1 - A landscaper has two gardens: one is a square and the other is a ...
- math - Plz solve this problem.. A wire of 100 cm is cut into two parts and each ...
- Math - you can draw a square inside another square by placing each vertex of ...

More Related Questions