Abigail made a quilt that has an area of 4,800 square inches. the length of the quilt is 1 and 1/3 times the width of the quilt . what are the dimensions of the quilt?

If you would like to know what are the dimensions of the quilt, you can calculate this using the following steps:

the area ... 4,800 square inches
the length ... 1 1/3 * x = 4/3 * x
the width ... x

4,800 = 1 1/3 * x * x
4,800 = 4/3 * x^2      /*3/4
x^2 = 4,800 * 3/4
x^2 = 3,600
x = 60 inches

1 1/3 * x = 4/3 * 60 inches = 80 inches

Result: The length of the quilt is 80 inches and the width of the quilt is 60 inches.

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.