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**Area, Perimeter, and Volume**

Created by Barbara Fugitt Texarkana ISD

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**Perimeter of a Rectangle**

The perimeter is the distance around a figure. The formulas are: P = 2L + 2W P = 2 (L + W) Measured in single units. 15 in. 8 in. P = 2(8 in.) + 2(15 in.) P = 2 (8 in in.) P = 16in in. P = 2 (23 in.) P = 46 in. P = 46 in.

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**Perimeter of a Square The perimeter is the distance around a figure.**

The formula is: P = 4s Measured in single units. P = 4s P = 4(9in.) or 4 x 9 in. P = 36 in. 9 in.

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**Perimeter of a Triangle**

The perimeter is the distance around a figure. Add up all three sides. P = A + B + C Measured in single units. 5 inches 5 inches P = A + B + C P = 5 in. + 5 in. + 5 in. P = 15 in. 5 inches

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Area of a Rectangle The number of square units needed to cover the surface of a figure. The formula is: A = L x W Area is measured in square units. 9 in. A = L x W A = 14 in. x 9 in. A = 126 square in. 14 in.

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Area of a Square The number of square units needed to cover the surface of a figure. The formula is: A = s² or A = s x s Area is measured in square units. A = s² A = s x s A = 6 in.² A = 6 in. x 6 in. A = 36 sq. in. A = 36 sq. in. 6 in.

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Area of a Triangle The number of square units needed to cover the surface of a figure. The formula is: A =½bh or A = bh 2 Area is measured in square units. A =½bh A = ½(5 in. x 4 in.) A = ½ (20 sq. in.) A = 10 sq. in. 5 in. 5 in. 4 in. 5 in.

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Volume The volume is the amount of space occupied by a three-dimensional object. The formula is V = L x W x H Volume is measured in cubic units. V = L x W x H V = 5 in. x 2 in. x 5 in. V = 10 sq. in. x 5 in. V = 50 cubic in. 5 in. 2 in. 5 in.

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**You try some P = 20 cm. What is the perimeter of the following shape?**

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**What formula do you use to find the area of the following figure**

What formula do you use to find the area of the following figure? What units do you use? Formula: A = L x W Units: square units

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**What formula do you use to find the perimeter of the following figure**

What formula do you use to find the perimeter of the following figure? What units do you use? Formula: P = 2(L + W) or 2L + 2W Units = single units

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**What formula do you use to find the perimeter of the following figure**

What formula do you use to find the perimeter of the following figure? What units do you use? Formula: Add up all the sides Units: single units

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**What formula do you use to find the area of the following figure**

What formula do you use to find the area of the following figure? What units do you use? Formula: ½ bh or bh 2 Units: square units

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**What formula do you use to find the area of the following figure**

What formula do you use to find the area of the following figure? What units do you use? Formula: A = s² Units: square units

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**What formula do you use to find the perimeter of the following figure**

What formula do you use to find the perimeter of the following figure? What units do you use? Formula: P = 4s Units: single units

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**What formula do you use to find the volume of the following figure**

What formula do you use to find the volume of the following figure? What units do you use? Formula: V = L x W x H Units: cubic units

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**What is the area of the following shape?**

8 cm 8 cm 5 cm 10 cm A = 25 sq. cm.

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**What is the area of the figure?**

A = 250 sq. ft.

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**What is the perimeter of the following figure?**

15 yards 8 yards 10 yards P = 33 yards

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**What is the volume of the following figure?**

V = 240 cubic meters

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**What is the area of the square?**

9 cm A = 81 square cm

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**What is the perimeter of the square?**

10 cm P = 40 cm

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**What is the volume of the figure?**

5 in. 5 in. 5 in. V = 125 cubic inches

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Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,

Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,

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