Step-by-step explanation:
1
area of the square :
6×6 = 36 cm²
area of the triangle :
6×4/2 = 6×2 = 12 cm²
height of triangle :
area of the triangle is
10×height/2 = 40
10×height = 80
height = 80/10 = 8 cm
width of the logo :
the central square has ashtray an area of 5×5 = 25 cm².
that leaves us 125 - 25 = 100 cm² for the 4 triangles.
I assume all 4 triangles are equal, so each has an area of 100/4 = 25 cm².
the area of such a triangle is
baseline × height / 2.
so, in our case
5 × height / 2 = 25
5 × height = 50
height = 10 cm
and so, the width of the logo is 2 times the height of these side triangles, and 1 time the side length of the central square :
2×10 + 5 = 25 cm
