Answer:
Area of figure is 51 cm²
Step-by-step 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: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Area of rectangle 1:
Length = 7 cm
Width = 3 cm
The area will be:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2[/tex]
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:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=3\times 3\\Area\:of\:rectangle=9 \:cm^2[/tex]
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:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2[/tex]
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
