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**Area of a Parallelograms and Triangles**

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PARALLELOGRAM What is the area of this parallelogram? S=side H=height B=base

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**PARALLELOGRAM What is the area of this parallelogram? S=side H=height**

B=base CUT HERE!

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**PARALLELOGRAM What is the area of this parallelogram? H=height B=base**

MOVE TO HERE!

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**the area of this rectangle!**

PARALLELOGRAM It’s the same as the area of this rectangle! H=height B=base

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**Arearectangle= Base x Height**

PARALLELOGRAM Arearectangle= Base x Height (perpendicular height H) H=height B=base

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**Areaparallelogram = Base x Height**

(perpendicular height H) Side H=height B=base

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**What is the area of this parallelogram?**

To find the area of a parallelogram, you always multiply the base and the height. Remember: The height is the line segment that is perpendicular to the base and creates a right angle. What is the area of this parallelogram? 10 in 12 in Area = base x height A = (10)(10) A = 100 in² 10 in

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**Examples A=bh A= 11(7) A=77 in² Find the area of the parallelogram.**

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**Your Turn A=bh A= 12(24) A=288 cm² Find the area of the parallelogram.**

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A treadmill’s belt is in the shape of a parallelogram before the ends are joined to form a loop. The area of the belt is 2052 in². The belt’s width, which is the height of the parallelogram, is 18 inches. Find the length of the belt, which is the base of the parallelogram.

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18 in b A=bh 2052= b(18) b =114 The length of the treadmill’s belt is 114 inches

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Triangles Height and Base of a Triangle HEIGHT BASE HEIGHT BASE BASE

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Area of a Triangle Area: A = 1 2 𝑏ℎ Area = 1 2 ×𝑏𝑎𝑠𝑒×ℎ𝑒𝑖𝑔ℎ𝑡

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**Why is that the Area of a Triangle?**

Area of parallelogram = base x height 1 2

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**Finding the Area of a Triangle**

Write the formula for area of a triangle. Substitute in values. Simplify. 111 ft 231 ft

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**Examples Find the Area of the triangle. A = ?, b = 9 ft, h = 6 ft 12 m**

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**Finding the Base of a Triangle**

A triangle has a height of 10 centimeters and an area of 35 square centimeters. Find the base of the triangle. Write the formula for area of a triangle. Substitute in values. Simplify. Solve.

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**Practice: Blue Book Pg. 554: #7-13 all Pg. 561: #6-15 all**

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