Question

A company logo is made up of a square and three identical triangles.

What is the area of the logo?

Enter your answer in the box.

Answer 1

91 91 91

Explanation:

Answer 2

The area of the logo is 91 square cm.

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
`= a^(2) .`

The area of the square
`= 7^(2) =49` square cm.

The triangles have a base length of 7 cm and a height of 4 cm.

The area of a triangle
`= (1)/(2) (b)(h).`

The area of 1 triangle
`= (1)/(2) (7)(4) = 14` square cm.

The area of 3 such triangles
`= 3(14) = 42` 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
`=49+42= 91` square cm.

The area of the logo is 91 square cm.