Question

find the area of the shape. (sides meet at right angles.)

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions 3 in by 5 in and the other has dimensions 2 in by 2 in.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the rectangle with length $l = 5$ in and width $w = 3$ in, $A_1=3\times5 = 15$ square - inches.

Step3: Calculate area of second rectangle

For the rectangle with length $l = 2$ in and width $w = 2$ in, $A_2=2\times2 = 4$ square - inches.

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=15 + 4=19$ square - inches.

Answer:

19