Question

What is the width of a rug that is 36 1/4 square feet and 8 3/4 wide

Answer 1

Answer: $4\frac{1}{7} ft$

Step-by-step explanation:

Area (A): $36\frac{1}{4} = \frac{4(36)+1}{4} = \frac{144+1}{4} = \frac{145}{4}$

Length (L): $8\frac{3}{4} = \frac{4(8)+3}{4} = \frac{32+3}{4} = \frac{35}{4}$

width (w): W

A = L x W

$\frac{145}{4}$ = $\frac{35}{4}$ x W

$(\frac{4}{35})$$\frac{145}{4}$ = $(\frac{4}{35})$$\frac{35}{4}$ x W

$\frac{4(145)}{35(4)} = \frac{145}{35} = \frac{5(29)}{5(7)} = \frac{29}{7} = W$

$\frac{29}{7} = \frac{7(4) + 1}{7} = 4\frac{1}{7}$