Question

yo can someone pls help me with this i’ve been crying for the last hour bc i can’t figure it out and it’s due in 30 minutes. the question is “find the area and perimeter to this composite figure”. i will give you the most brainly if you answer and solve. thank you <3

Answer 1

9514 1404 393

Answer:

• area: 524 cm²
• perimeter: 124.8 cm

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

  A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

  A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

  210 cm² +314 cm² = 524 cm² . . . . area of the figure

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The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

  P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

  C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

  P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

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Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.