Algebra
posted by Breanna on .
1. The area of a rectangle is 12 and the width is 3/4 the length. What are the dimensions?
2. One leg of a right triangle is 2 1/2 times the other and the area is 20. What are the dimensions?

1.
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.