There are two rectangles in the idiosyncratic shape. In order to find the area of the figure, we need to solve for one rectangle first.
The formula for solving the area of a rectangle is
. For the smaller rectangle on the left, we have both the length and width, so we can just multiply after plugging in the numbers into the equation;
. The 13 represents the length and the 4 represents the width. After solving, we get 52 inches squared for the first rectangle.
The larger rectangle, we already have the length and width as well, so we can just plug the numbers into the formula,
, as 15 represents the length and the 10 represents width. 15 × 10 = 150.
After doing this, we need to add up the two rectangles together, which we get a sum of 202. The total area of the figure is 202 inches squared.