Question

Two semicircles are attached to the sides of a rectangle as shown.


(WILL GIVE BRAINLY IF RIGHT)
What is the approximate area of this figure?

Use 3.14 for pi.

Enter your answer in the box. Round only your final answer to the nearest whole number.

Answer 1

Answer:

• 157 in²

Step-by-step explanation:

The area of the shape is the sum of three sections

1. Rectangle

• A = 5*14 = 70 in²

2. Bigger semicircle

• A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)

3. Smaller semicircle

• A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)

Total area:

• 70 + 77 + 10 = 157 in²

Answer 2

answer:

157 inches²

step-by-step explanation:

• we have to break this down into parts and find the area of each part and then add them up so we have the area for the whole thing

rectangle:

5 X 14 = 70 inches²

big semicircle:

• solve this like a simple circle and then divide by 2 since this is half

area = πr²

• insert what we know from the question

area = (3.14)(7)²

• the radius would be seven because as you can see the length of a side of the rectangle is 14 and this is also the diameter of the circle since they are attached and share it
• the radius is half of the diameter so we get 7

area = 3.14(49)

        = 153.86 inches²

• now divide this by 2 since it is semicircle

153.86 / 2 = 76.93 inches²

small semicircle:

area = (3.14)(2.5)²

• i followed the same method as last, except the numbers are different

area = 3.14(6.25)

        = 19.625 inches²

• now divide by 2

19.625 / 2 = 9.8125 inches²

• finally, add up all the separate areas you got

70 inches² + 76.93 inches² + 9.8125 inches²

= 156.7425 inches²

= 157 inches²