A rectangle's length #y# is half the square of it's width #x#. The perimeter is 48m. What are the rectangle's dimensions?
1 Answer
Jan 29, 2017
Explanation:
We have a rectangle with length,
We are told two things about this rectangle:
-
the length,
#y# , is half the square of the width,#x# . We can write that as#y=1/2 x^2# -
the perimeter is 48m. The formula for the perimeter of a rectangle is
#P=2y+2x#
We now have two equations and two variables, so we can solve it. I'm first going to substitute the
And now let's solve for
Since we can't have negative length,
We can now put this value of