SOLUTION: Find the dimensions of a rectangle whose perimeter is 46m ans whose area is 126 m^2. (Hint: Let the width be w. Use the perimeter to find the length in terms of w.)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the dimensions of a rectangle whose perimeter is 46m ans whose area is 126 m^2. (Hint: Let the width be w. Use the perimeter to find the length in terms of w.)      Log On


   

Question 26314: Find the dimensions of a rectangle whose perimeter is 46m ans whose area is 126 m^2. (Hint: Let the width be w. Use the perimeter to find the length in terms of w.)
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the length be x
Let the width be y
Now 2(x+y)=46
2x+2y=46
x+y=23
y=23-x (subsitution)

xy=126
x(23-x)=126
23x-x^2=126
x%5E2-23x%2B126=0%2Cx
Factor take out the negative
x=14.
y=23-14
y=9
IF you need help on factoring the Quadratic e-mail be baack.

Hence, the length is 14 and the width is 9cm.
Paul.