Question

what is the area of the object shown?
a. 102 sq cm
b. 142 sq cm
c. 126 sq cm
d. 158 sq cm

Explanation:

Step1: Divide the figure into two rectangles

We can divide the given figure into a rectangle with length 18 cm and width 4 cm and another rectangle with length 10 cm and width (7 - 4)=3 cm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 18$ cm and $w = 4$ cm, $A_1=18\times4 = 72$ $cm^2$.

Step3: Calculate area of second rectangle

For the second rectangle with $l = 10$ cm and $w = 3$ cm, $A_2=10\times3=30$ $cm^2$.

Step4: Calculate total area

The total area $A = A_1+A_2$. So $A=72 + 30=102$ $cm^2$.

Answer:

A. 102 sq cm