Question

the area of a rectangular rug is 14 1/12 square yards.the length of the rug is 4 1/3 yards.what is the width

Answer 1

Answer:

width = 3 1/4 yards

Explanation:

The area of a rectangle is given by the formula: area = (length*width). given the area and the length, we can rearrange the formula: (area/length) = width, then, remplacing the values we got: $14\frac{1}{2} square yards / 4\frac{1}{3} yards = width$, then, we rearrange the fraction as follows: $14\frac{1}{2}square yards= \frac{(14*12)+1}{2}=\frac{169}{12}square yards$ ; and $4\frac{1}{3} yards= \frac{(4*3)+1}{3}=\frac{13}{3} yards$, then $\frac{\frac{169}{12} }{\frac{13}{3} } yards= \frac{169*3}{12*13}yards = \frac{507}{156}yards$, and finally we simplify $\frac{\frac{507}{13} }{\frac{153}{13} } =\frac{\frac{39}{3} }{\frac{12}{3} } yards=3\frac{1}{4}yards$

Answer 2

Convert this to improper fractions (14-1/2 sq yds = 169/12 sq yds) and (4-1/3 sq yds = 13/3 sq yds) divide 169/12 by 13/3 and you get 507/156 sq yds which is equal to 3-1/4 sq yds.