Question

what is the area of this figure? 6 mi 6 mi 9 mi 2 mi 3 mi 4 mi square miles

Explanation:

Step1: Divide the figure into three rectangles

We can divide the given figure into three rectangles.

Step2: Calculate the area of each rectangle

• First rectangle:

The first rectangle has dimensions \(6\times6\). Using the formula for the area of a rectangle \(A = l\times w\), where \(l = 6\) and \(w = 6\), we get \(A_1=6\times6 = 36\) square miles.

• Second rectangle:

The second rectangle has dimensions \(3\times2\). Using the formula \(A = l\times w\), where \(l = 3\) and \(w = 2\), we get \(A_2=3\times2=6\) square miles.

• Third rectangle:

The third rectangle has dimensions \(4\times(9 - 3)=4\times6\). Using the formula \(A = l\times w\), where \(l = 4\) and \(w = 6\), we get \(A_3=4\times6 = 24\) square miles.

Step3: Sum up the areas of the three rectangles

The total area \(A=A_1 + A_2+A_3\). Substituting the values of \(A_1 = 36\), \(A_2 = 6\) and \(A_3 = 24\), we get \(A=36+6 + 24\).

Answer:

\(66\) square miles