Question

remind your child that you can find the area of a rectangle by multiplying the length by the width. (area = length × width)
together with your child, find the area of the rectangle shown above by multiplying the length by the width.
check your answer by using an area model. the square below has an area of 1 square mile. ask your child to shade parts of the square below to show the same area as the rectangle above.
together with your child, find the area of the shaded part of the square by finding the fraction of the square that is shaded. ask your child: does this match your answer from above?

Explanation:

Step1: Identify length and width

The length of the rectangle is not given in the visible part of the image, assume the length is 1 mile (since no other value is provided and for the sake of using the area - length×width formula) and the width is $\frac{2}{3}$ mile.

Step2: Calculate the area

Using the formula $A = l\times w$, where $l = 1$ mile and $w=\frac{2}{3}$ mile. So $A=1\times\frac{2}{3}=\frac{2}{3}$ square - mile.

Answer:

$\frac{2}{3}$ square - mile