The area of a rectangle is 50m^2, and the length of the rectangle is 5m less than three times the width. what is the dimensions of the rectangle?

Question

Algebra

 

 

The area of a rectangle is 50m^2, and the length of the rectangle is 5m less than three times the width. what is the dimensions of the rectangle?

Answer 1

L*W=Area

 

Let x = L

 

x(3x-5)=50

3x^2 - 5x - 50 = 0

 

Then factor.

 

(3x + 10)(x - 5) = 0

x = 5, x = -10/3

 

Now since distance cannot be negative, we must use 5.

 

L = 5

W = 3(5)-5 = 10