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Find the perimeter and area of the regular polygon.

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Presentation on theme: "Find the perimeter and area of the regular polygon."— Presentation transcript:

1 Find the perimeter and area of the regular polygon.
Warm Up 4.2, Day 1 Find the perimeter and area of the regular polygon.

2 Unit 4: Area of Polygons and Circles
Target 4.2, Day 1 Determine and calculate the area of trapezoids, rhombuses, and kites (11.2)

3 A = _______ To determine the area of a trapezoid, use the formula…
Find the area of the trapezoid. (Challenge: Find the perimeter!)

4 You are designing a park for your town by laying it out on a piece of graph paper. Each grid square represents a 10 meter by 10 meter square. What is the area of the park?

5 The area of a trapezoid is 100 square millimeters
The area of a trapezoid is 100 square millimeters. Its height is 5 millimeters and one of its bases is 10 millimeters longer than the other. Find the lengths of the two bases.

6 To determine the area of a rhombus or kite using their diagonals, use the formula…
Find the area of the figure. (Challenge: Find the perimeter!)

7 One diagonal of a kite is twice as long as the other diagonal
One diagonal of a kite is twice as long as the other diagonal. The area of the kite is cm2. Find the length of each diagonal.

8 Challenge!! Find the perimeter and area of the trapezoid.

9 Warm Up 4.2, Day 2 Find the area of each figure. For an extra challenge, find the perimeter, too! The area of the kite is 80 square feet. One diagonal is 4 times as long as the other. Find the diagonal lengths.

10 Unit 4: Area of Polygons and Circles
Target 4.2, Day 2 Determine and calculate the area of composite figures / application problems (Various)

11 A shape that is composed of more than one other figures is called a _______________________ figure.
To find the perimeter or area of these figures, we will simply _____________ or ________________ the perimeters or areas of the individual shapes using the formulas that we already know. We are also going to begin working on application problems. These types of “real world” problems will ask us to perform a few more calculations once we have determined perimeter and/or area.

12 The floor plan of your living room is shown below
The floor plan of your living room is shown below. Find the perimeter and the area of the room. If DJ Roomba can vacuum 2 m2 in 8 minutes, how long will it take him to vacuum your entire living room?

13 You need to buy paint so that you can paint the side of a barn
You need to buy paint so that you can paint the side of a barn. A gallon of paint covers 350 square feet. How many gallons should you buy?

14 You want to retile a rectangular shower wall that has a small window embedded in it in the shape of a regular octagon. The wall measures 8 feet by 10 feet. The window has a side length of 1 foot and an apothem that measures about 1.21 feet. What is the area of the surface that you need to retile?

15 How many boxes of tiles will you need to buy if each box contains 20 ft2 of tiles?
Each box costs $1.99. How much will the tiles cost you?


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