Question

find the area of the shape. (sides meet at right angles.) 5 in 3 in 4 in 3 in 1 in 2 in square inches

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions 5 in by 3 in and the other has dimensions (4 - 3) in by (5-(3 + 2)) in.

Step2: Calculate area of first rectangle

The area of a rectangle is given by $A = l\times w$. For the first rectangle with length $l = 5$ in and width $w = 3$ in, the area $A_1=5\times3 = 15$ square - inches.

Step3: Calculate area of second rectangle

The second rectangle has length $l=(4 - 3)=1$ in and width $w = 2$ in. So the area $A_2=1\times2 = 2$ 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 $A=15+2=17$ square - inches.

Answer:

17