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=w2+5.2w -51
o
0=12+5.21-51
4w + 10.4 = 51
о
41 +10.4 = 51

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply