Question

Amusement Park Buildings Part 1 There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t know the specific dimensions, you do know the relationships between the sides. The first is the rectangular gift shop. You know that the length will be 20x+24 feet and the width will be 36x-20 feet. 1. Write the expression that represents the area of the gift shop, in terms of x. 2. Write the expression that represents the perimeter of the gift shop, in terms of x. 3. If the perimeter is going to be 176 feet, what are the dimensions of the building? Part 2 The next building is the gazebo that will be in the shape of a regular hexagon. (What does regular mean?) Each side will be 5x + 21 4. Write the expression that represents the perimeter of the gazebo, in terms of x. 5. If the perimeter is going to be 36 feet, what are the dimensions of the building?

Answer 1

Tbh idk I’m just doing this so I can continue doing my homework and it’s making me answer this so umm but good luck

Answer 2

1. 56x - 480

2. 40x + 80

3. LENGTH = 72 feet, WIDTH = 66.4 feet

part 2: Regular means that all sides and angles are the same length

4. 6x

5. 216 feet

Explanation:

(20x + 24) * (36x - 20)

56x - 480

2(20x + 24) + 2(36x - 20)

40x + 48 + 72 - 40

40x + 80

176 = 40x + 80

176 - 80 = 40x + 80 - 80

96 = 40x

96 / 40 = 40x / 40

2.4 = x

(20(2.4) + 24)

(36(2.4) - 20)

6(36)