Question

Help plz it’s a test quest-

A new homeowner needs to determine the length of his rectangular backyard before he goes to the store for fencing. He knows that the area of
the yard is 51 square meters and that the width is 5.2 meters longer than the length. Which equation could be solved to determine the
dimensions of the backyard, where the length is / and the width is w?

0=w/2+5.2w -51

0=/2+5.2/-51

4w +10.451

4/+10.4 = 51

Answer 1

0=w^2-5.2w-51

Explanation:

51=width x length

length=width-5.2

substitute for length

51=width x (width-5.2)

51=w^2-5.2w

0=w^2-5.2w-51