Answer:
Area of figure is 51 cm²
Explanation:
We need to find the area of the figure given.
The figure is basically a combination of 3 rectangles.
Adding area of all the rectangles will give the area of the figure.
The formula used is:
![Area\:of\:rectangle=Length* Width](https://img.qammunity.org/2022/formulas/mathematics/college/eqyx46g3uepqm0b8mhhq35savg7f26tam9.png)
Area of rectangle 1:
Length = 7 cm
Width = 3 cm
The area will be:
![Area\:of\:rectangle=Length* Width\\Area\:of\:rectangle=7* 3\\Area\:of\:rectangle=21 \:cm^2](https://img.qammunity.org/2022/formulas/mathematics/college/ogz9i94nuidmmzrc12zqg656lgxe16gfev.png)
The area of rectangle 1 is 21 cm²
Area of rectangle 2
Length will be: 7-4 = 3cm
Width will be: 3 cm
The area will be:
![Area\:of\:rectangle=Length* Width\\Area\:of\:rectangle=3* 3\\Area\:of\:rectangle=9 \:cm^2](https://img.qammunity.org/2022/formulas/mathematics/college/cwb79blg0ydadcx9t66shs4ql6z2m8nqpz.png)
The area of rectangle 2 is 9 cm²
Area of rectangle 3
Length will be: 7cm
Width will be: 3 cm
The area will be:
![Area\:of\:rectangle=Length* Width\\Area\:of\:rectangle=7* 3\\Area\:of\:rectangle=21 \:cm^2](https://img.qammunity.org/2022/formulas/mathematics/college/ogz9i94nuidmmzrc12zqg656lgxe16gfev.png)
The area of rectangle 3 is 21 cm²
The total area of the figure will be:
Area of figure = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of figure = 21+9+21
Area of figure = 51 cm²
So, Area of figure is 51 cm²