Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the area of this figure? square centimeters

Question

what is the area of this figure? square centimeters

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle with dimensions 2 cm by 10 cm and another with dimensions 8 cm by 10 cm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 10$ cm and width $w = 2$ cm, the area $A_1=10\times2 = 20$ $cm^2$.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 10$ cm and width $w = 8$ cm, the area $A_2=10\times8 = 80$ $cm^2$.

Step4: Calculate total area

The total area of the figure $A = A_1+A_2$. So $A=20 + 80=100$ $cm^2$.

Answer:

100