Tuesday

March 3, 2015

March 3, 2015

Posted by **Breanna** on Tuesday, June 30, 2009 at 12:10am.

2. One leg of a right triangle is 2 1/2 times the other and the area is 20. What are the dimensions?

- Algebra -
**Marth**, Tuesday, June 30, 2009 at 9:32am1.

let x = the length

let (3/4) x = the width

The area of a rectangle = width * height.

area = width*height

12 = x*(3/4)x

12 = (3/4)x^2

12/(3/4) = x^2

16 = x^2

x=4. The answer x=-4 does not make sense in the context of the problem.

2.

let x = leg one

let 2.5x = leg two

The area of a triangle = base*height/2

area = base*height/2

20 = 2.5x*x/2

20 = 2.5x^2/2

20/2.5 = x^2/2

8 = x^2/2

16 = x^2

x=4. Again, the answer x=-4 does not make sense in the context of the problem.

**Answer this Question**

**Related Questions**

Algebra, URGENT!!! - 1) The first leg of a right triangle is 6 cm longer than ...

Algebra Homework, HELP! - 1) A rectangle has an area of 297 square inches and a...

Math - 1) The hypotenuse of an isosceles right triangle is 8 cm longer than ...

algebra help please - The area of a rectangle of length x is given by 3x^2+5x ...

math - a rectangle is twice as long as it is wide. if both of its dimensions are...

Algebra/geometry - a rectangle has a width of 4 cm less than it's length. if a ...

algebra - the dimensions of a rectangle are such that its length is 5 in more ...

Math-Algebra 1 - I have 2 questions. one is a rectangle that has an area of 34 ...

Algebra - The dimensions of a rectangle are such that it's length is 9 in. more ...

algebra , help - Can someone help me set up the equations thanks. Directions: ...