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.

Question

asked May 12, 2021 144k views

2 Answers

Harshit Garg · Answer 1 · 2021-05-19T05:45:00+0000

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.