Question

The length of a rectangle is 11 in. longer than its width. The perimeter of the rectangle is 86 in.

What is the length of the rectangle? 
      38 in.
       32 in.
       27 in.
        16 in.

Answer 1

`L=w+11 \\\\P=86in \\P=2L+2w \\\\ 2(w+11)+2w=86 \\\\ 2w+22+2w=86 \\\\ 4w=86-22 \\\\ 4w=64 \\\\ \boxed{w=(64)/(4)=16in} \\\\L=16+11 \\\\ \boxed{L=27in}`