Abigail made a quilt that has the area of 4,800 sq. inches. The length of the quilt is 1 1/3 times the width of the quilt. What are the dimensions of the quilt

For this case we model the problem as a rectangle.

The area of the rectangle is given by:

A = (w) * (l)

Where,

w: width

l: long

Substituting values we have:

4800 = (w) * ((1 1/3) * w)

We rewrite:

w ^ 2 = 4800 / (1 1/3)

w ^ 2 = 3600

w = root (3600)

w = 60 in

The long will be then:

l = (1 1/3) * w

l = (1 1/3) * (60)

l = 80 in

Answer:

the dimensions of the quilt are:

w = 60 in

l = 80 in