Question

what is the area of this figure? 3 mi 9 mi 7 mi 9 mi 2 mi 12 mi square miles

Explanation:

Step1: Divide the figure into two rectangles

We can divide the given L - shaped figure into two rectangles.

Step2: Calculate the area of the first rectangle

One rectangle has dimensions \(3\times9\). Using the formula for the area of a rectangle \(A = l\times w\), its area \(A_1=3\times9 = 27\) square miles.

Step3: Calculate the area of the second rectangle

The second rectangle has length \(9\) miles and width \(2\) miles. Using the area formula \(A = l\times w\), its area \(A_2=9\times2=18\) square miles.

Step4: Sum up the areas of the two rectangles

The total area \(A = A_1+A_2\). Substitute \(A_1 = 27\) and \(A_2 = 18\) into the formula: \(A=27 + 18=45\) square miles.

Answer:

45