Question 165764
 so we are given P-perimeter as 52 feet we know that P=2(L+W) the length or L is 4 more fee than the width  L=W+4   so substitution our given and the L value in the 2nd equation into our perimeter formula we get 52=2((W+4)+W) lets distribute the right side 52=4W+8 so subtract 8 both sides and 4W=44 divide each side by 4 and W=11    L=W(11)+4 so L=15

a. width is 11 feet 
   length is 15 feet

b  A=15 times 11=165 sq ft but we must divide this by 9 to get square yards
    so 165/9=18.33 sq yards
   so 18.33 sq yd multiplied by cost per yard of $18.95 equals $347.35 as    being the cost of the carpet for this given room