 # Area of a Parallelograms and Triangles

## Presentation on theme: "Area of a Parallelograms and Triangles"— Presentation transcript:

Area of a Parallelograms and Triangles

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

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

PARALLELOGRAM What is the area of this parallelogram? H=height B=base
MOVE TO HERE!

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

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

Areaparallelogram = Base x Height
(perpendicular height H) Side H=height B=base

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

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

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

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.

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

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

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

Why is that the Area of a Triangle?
Area of parallelogram = base x height 1 2

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

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

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.

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