Question

what is the area of the object shown?
a. 69 sq cm
b. 78 sq cm
c. 105 sq cm
d. 102 sq cm

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions 9 cm by 6 cm and the other has dimensions (17 - 9) cm by 3 cm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 9$ cm and width $w = 6$ cm, $A_1=9\times6 = 54$ $cm^2$.

Step3: Calculate area of second rectangle

The length of the second rectangle is $17 - 9=8$ cm and width is 3 cm. Using the area formula $A = l\times w$, $A_2 = 8\times3=24$ $cm^2$.

Step4: Calculate total area

The total area $A$ of the object is the sum of the areas of the two rectangles, $A=A_1 + A_2=54 + 24=78$ $cm^2$.

Answer:

B. 78 sq cm