Question

4. A banner is being made for the opening of an Ice-cream parlor. On the banner is an

Image with a triangle with a height of 10 feet and a semicircle with a base of 6
feet. Which best describes the total area of the Image?
6 ft?
10 ft

Answer 1

The total area of the image on the banner is 30 square feet + 4.5π square feet.

Step-by-step explanation:

The total area of the image on the banner can be found by calculating the area of the triangle and the semicircle separately and then adding the two areas together.

To find the area of the triangle, use the formula: Area = 1/2 × base × height. In this case, the base of the triangle is 6 feet and the height is 10 feet. So, the area of the triangle is 1/2 × 6 × 10 = 30 square feet.

To find the area of the semicircle, use the formula: Area = 1/2 × π × radius². The radius of the semicircle is half of the base of the triangle, which is 3 feet. So, the area of the semicircle is 1/2 × π × 3² = 4.5π square feet.

Therefore, the total area of the image on the banner is 30 square feet + 4.5π square feet.