Question

what is the area of this figure? 5 cm 16 cm 14 cm 4 cm 6 cm 3 cm square centimeters

Explanation:

Step1: Divide figure into rectangles

We can divide the figure into three rectangles.

Step2: Calculate area of first rectangle

The first rectangle has dimensions 6 cm by 3 cm. Its area $A_1 = 6\times3= 18$ $cm^2$.

Step3: Calculate area of second rectangle

The second rectangle has dimensions $(6 + 14)$ cm by 4 cm. Its area $A_2=(6 + 14)\times4=80$ $cm^2$.

Step4: Calculate area of third rectangle

The third rectangle has dimensions 5 cm by 16 cm. Its area $A_3 = 5\times16 = 80$ $cm^2$.

Step5: Sum up areas

The total area $A=A_1+A_2+A_3=18 + 80+80 = 178$ $cm^2$.

Answer:

178