Question

find the perimeter and area of the following composite shape.
{show work}

Answer 1

The perimeter is the distance around the object. Think about taking a string and walking along the outside of a square or circle--that is the perimeter (or circumference in the case of a circle).

To find the perimeter of the object, add the circumference of the semicircle with the perimeter of the rectangle.

\[\text{Circumference} = \pi \times D\]
\[\text{Perimeter} = 2L + 2W\]
The area is the space occupied by the 2D object. Think about shading the inside of a circle or the inside of a rectangle--that is the area.

To find the area of the object, add the area of the semicircle with the area of the rectangle.
\[\text{Area}_{circle} = \pi \times \text{Radius}^2\]
\[\text{Area}_{rect} = L \times W\]

Answer 2

i did it already. i know the answer to it but i have to show the work. & i dont know how to do it.

Answer 3

what shape is this

Answer 4

a rectangle and a semi circle

Answer 5

a mixture?

Answer 6

what grade

Answer 7

You've done the problem already but you don't know how to do it? The "work" that you have to show would be applying those equations above. You would specify what the length and width of the rectangle is and what the diameter of the circle is (which leads you to the radius).

Answer 8

@partyrainbow276
what grade

Answer 9

9th

Answer 10

sorry im in 7th

Answer 11

well this is very confusing.

Answer 12

What is it that you don't get? Do you know how to find the area and circumference of the semicircle? What about for the rectangle?

Answer 13

yeah i do but i keep getting the wrong answer when i show the work.

Answer 14

From the figure, what is the diameter of the circle? Notice that the diameter of the circle is one part of the rectangle.

Answer 15

20.2

Answer 16

Right, so we have that \(\text{Diameter} = 20.2 \ \text{mm}\).
What is the radius? Remember that \(\text{Radius} = \text{Diameter} \times \frac{1}{2}\)

The area of a semi (half) circle is given by
\[\text{Area} = \frac{1}{2} \times \pi \times \text{Radius}^2\]
What is the area of the semicricle in the figure?

Answer 17

160.1557

Answer 18

Right. Now what is the area of the rectangle?
The area of a rectangle is given by
\[\text{Area} = \text{Length} \times \text{Width}\]
Don't worry about which side is the length and which side is the width--just know that they are two different sides of a rectangle.

Answer 19

62.62

Answer 20

Right. Now add the area of the circle and the area of the rectangle (which you have provided the answers to) and that is the area of your shape.

Answer 21

area of the given fig. = area of rectangle + area of semicircle.
=(3.1*20.2) + (1/2 * 3.14*10.1*10.1)
= 62.62+ 160.1557
=222.7757