Find area and perimeter of this shape!

20 points, and will mark brainliest!!

The area of the figure is 3.6257188 cm²

The perimeter of the shape is 7.0685835 cm

Step-by-step explanation:

Let us find the area of the shape at first

∵ The shape formed from 3 semicircles and an equilateral triangle

∴ Its area = 3 (area of a semicircle) + area of an equilateral Δ

∵ Area of the semicircle = π r²

∵ The diameter of the semicircle = 1.5 cm

∵ The radius = the diameter

∴ r = × 1.5 = 0.75 cm

∴ The area of a semicircle = π (0.75)²

∴ The area of a semicircle = 0.28125π cm²

→ Find the area of the Δ

∵ Area of a triangle = × base × height

∵ The base of the triangle = 1.5 cm

∵ The height of the triangle = 1.3 cm

∴ Area of the triangle =   × 1.5 × 1.3

∴ Area of the triangle = 0.975 cm²

→ Now find the area of the shape

∵ Its area = 3(0.28125π) + 0.975

∴ Its area = 3.6257188 cm²

∴ The area of the figure is 3.6257188 cm²

Now let us find the perimeter of the figure

∵ The perimeter of a figure is the length of the outline sides

∴ The perimeter of the figure = the length of the 3 half circumferences

∵ The length of half the circumference = (2 π r) = π r

∵ r = 0.75 cm

∴ The length of half the circumference = 0.75 π

→ Find the perimeter of the shape

∵ The perimeter of the shape = 3 × 0.75 π

∴ The perimeter of the shape = 7.0685835 cm

∴ The perimeter of the shape is 7.0685835 cm

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9