# Algebra

posted by .

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?

• Algebra -

Let x,y be the side of each of the squares.

x2 + y2 = 1000
y=(2/3)x-10

substitute (2/3)x-10 for y in the first equation:
x2 + ((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

http://www.jiskha.com/display.cgi?id=1246414274

## Similar Questions

1. ### Algebra

Babylonian Problem - circa 1800 BC 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?
2. ### Algebra

Babylonian Problem - circa 1800 BC 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?
3. ### Math Word Problem

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?
4. ### math

Area A sequence of smaller squares is formed by connecting the midpoints of the sides of a larger square. (a) If the area of the largest square is 1 square unit, determine the first five terms of a sequence that describes the area …
5. ### math

Area A sequence of smaller squares is formed by connecting the midpoints of the sides of a larger square. (a) If the area of the largest square is 1 square unit, determine the first five terms of a sequence that describes the area …
6. ### Algebra 1

You are designing a wall mural that will be composed of squares of different sizes. One of the requirements of your design is that the side length of each square is itself a perfect square. 1. If you represent the side length of a …
7. ### Algebra 2

Solving By Factoring: The length of the side of a large square is 1 cm less than twice the length of the of the side of a smaller square. The area of the large square is 33cm^2 more than the area of the small square. Find the length …
8. ### Calculus

A piece of wire x cm long is to be cut into two pieces, each to bent to be a square. the length of a side of one square is to be 9 times the length of a side of the other . Express the sum of the areas of two squares in term of x .
9. ### mathematics (word problems leading to linear equations )

The side of one square is 5cm longer than the side of another square. The area of the two squares differ by 85 square centimetres. find the length of the side of the smaller square.
10. ### Math

Two squares are drawn. The larger square has area of 400 square inches. The areas of the two squares have a ratio of 1 : 4. What is the side length s of the smaller square?

More Similar Questions