Respuesta :
Answer: The length is 15 yards so the answer is A.
Step-by-step explanation:
If  the length is 3 more than the width  the we will represent it by the equation L = w+3   where w is the width and to find the area of a rectangle, we need to multiply the length by the width. so the length is w+3 and the width is w so
w(w+3) = 180 Â solve for the w
w^2 + 3w = 180 Â Â subtract 180 from both sides
w^2 + 3w -180 = 0 Â Â find two numbers that their product is -180 and add to 3.
 the number 12 and -15 works out because -12*15= -180  and -15+ 12 =3
We will now have a new quadratic equation as
w^2 - 12w + 15w - 180 = 0 Â factor by grouping
w(w-12) 15(w-12)= 0 Â Â factor out w-12
(w-12)(w+15) = 0   set them both equal  zero.
w -12 = 0    or  w+15= 0 Â
w =  12    or  w = -15
Since we know that -15 can't represent a distance, then 12 is the width . Â
So if we are to find the length and it gives us the information that the length is 3 yards more that the width then we will add 3 to the width to equal the length.
L= 12 +3
L = 15