Question

what is the area of this figure? 4 in 8 in 13 in 2 in 5 in 6 in square inches

Explanation:

Step1: Divide the figure into two rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions 4 in by 13 in and the other has dimensions (6 - 4) in by 5 in.

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 13$ in and width $w = 4$ in, $A_1=13\times4 = 52$ square - inches.

Step3: Calculate the area of the second rectangle

The length of the second rectangle is $l = 5$ in and the width is $w=(6 - 4)=2$ in. So, $A_2 = 5\times2=10$ square - inches.

Step4: Calculate the total area

The total area of the figure $A = A_1+A_2$. So, $A=52 + 10=62$ square - inches.

Answer:

62