Question

The length of a rectangle is 4 inches more than the width.The perimeter is 136 inches

Answer 1

lets start by labeling the rectangle. let w = width so length(l) = w+4 (i.e 4 more than the width)

Perimeter of a rectangle= sum of all the sides= l+ w+l+w=2l +2w

now  we know that p = 2l + 2w = 100

but we know that l=w+ 4

so

2(w+4) +2w=100

2w +8 +2w = 100

4w+8 =100

4w= 92

w=23

and if we substitute into 2l+2w= 100

we will get l =27.