Question

The shop plans to paint the logo on one wall. The triangle will be 8ft tall, and the entire logo will be 12ft tall. How much of the wall will be covered by the logo? Show your work an(d)/(o)r explain

Answer 1

To find out how much of the wall will be covered by the logo, we need to compare the height of the logo to the height of the wall. If the triangle is 8ft tall and the entire logo is 12ft tall, the remaining portion of the logo (above the triangle) would be 4ft.

Step-by-step explanation:

To find out how much of the wall will be covered by the logo, we need to compare the height of the logo to the height of the wall. If the triangle is 8ft tall and the entire logo is 12ft tall, the remaining portion of the logo (above the triangle) would be 12ft - 8ft = 4ft.

Therefore, 4ft of the wall will be covered by the logo.

Answer 2

The total area will be covered by the logo is 57.13 square ft if a new ice cream shop in town plans to use a half circle atop a triangle as their logo.

Note that a circle is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

As we know,

The area of the semicircle = πr²/2 = π(12-8)²/2

The area of the semicircle = 25.13 square ft

The area of the triangle = (1/2)8(8) = 32 square ft

Total area = 25.13 + 32 = 57.13 square ft

Hence, the total area that will be covered by the logo is 57.13 square ft if a new ice cream shop in town plans to use a half circle atop a triangle as their logo.