Margaret purchased a doormat measuring 1/2 yard by 2/3 yard for her back door step. if the step is 1/4 square yard, will the mat fit? explain

We know that
[the area of a doormat]=(1/2)*(2/3)> 2/6 > 0.33 yd²
[the area of the step]= 1/4 > 0.25 yd²

[the area of a doormat] > [the area of the step]
0.33 yd² is > 0.25 yd²
therefore
the doormat will not fit because  it is too large

the answer is 
the doormat will not fit

Step-by-step explanation:

(x+5)² = 36

x+ 5 = ±√36 = ±6

x = -5 ±6 = 1, -11