The area of the logo is 91 square cm.
Step-by-step explanation:
Step 1:
The area of the logo is obtained by adding the areas of the square and the three triangles.
The area of a square is obtained by squaring the side length.
The area of a triangle is half the product of the base length and the height.
Step 2:
The side length of the square is 7 cm.
The area of a square [tex]= a^{2} .[/tex]
The area of the square [tex]= 7^{2} =49[/tex] square cm.
The triangles have a base length of 7 cm and a height of 4 cm.
The area of a triangle [tex]= \frac{1}{2} (b)(h).[/tex]
The area of 1 triangle [tex]= \frac{1}{2} (7)(4) = 14[/tex] square cm.
The area of 3 such triangles [tex]= 3(14) = 42[/tex] square cm.
Step 3:
The area of the logo = The area of the square + The area of the 3 triangles.
The area of the logo [tex]=49+42= 91[/tex] square cm.
The area of the logo is 91 square cm.
