Question

8 what is the area of the object shown? a. 90 sq cm b. 95 sq cm c. 140 sq cm d. 104 sq cm

Explanation:

Step1: Divide the shape into two rectangles

We can divide the given shape into two rectangles. One rectangle with length 12 cm and width 7 cm, and another with length $14 - 12= 2$ cm and width $3 + 7=10$ cm.

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 12$ cm and $w = 7$ cm, $A_1=12\times7 = 84$ $cm^2$.

Step3: Calculate the area of the second rectangle

For the second rectangle with $l = 2$ cm and $w = 10$ cm, $A_2=2\times10 = 20$ $cm^2$.

Step4: Calculate the total area

The total area $A = A_1+A_2$. So $A=84 + 20=104$ $cm^2$.

Answer:

D. 104 sq cm