Area of Rectangles, Triangles and Composite Shapes

Area of Rectangles, Triangles and Composite Shapes

Multiple Choice

How do you find the area of a triangle?

• $A\ =\ bh$

• $A=\ \frac{bh}{2}$

• $A=\ \frac{b_1+b_2}{2}h$

Multiple Choice

How do you find the area of a trapezoid?

• $A\ =\ bh$

• $A=\ \frac{bh}{2}$

• $A=\ \frac{b_1+b_2}{2}h$

Multiple Choice

How do you find the area of a parallelogram?

• $A\ =\ bh$

• $A=\ \frac{bh}{2}$

• $A=\ \frac{b_1+b_2}{2}h$

Multiple Choice

How do you find the area of a semicircle?

•  $A\ =\ \pi\ x\ r^2$ 

•  $A\ =\ \frac{\pi\ x\ r^2}{4}$ 

•  $A=\ \frac{\pi\ x\ r^2}{2}$ 

Multiple Choice

How do you find the area of a circle?

•  $A\ =\ \pi\ x\ r^2$ 

•  $A\ =\ \frac{\pi\ x\ r^2}{4}$ 

•  $A=\ \frac{\pi\ x\ r^2}{2}$ 

Multiple Choice

How do you find the area of a quarter circle?

•  $A\ =\ \pi\ x\ r^2$ 

•  $A\ =\ \frac{\pi\ x\ r^2}{4}$ 

•  $A=\ \frac{\pi\ x\ r^2}{2}$ 

Composite Figures

-separate into individual shapes

-find the area of each shape

-add the area of each shape together

Let's work together

How would you separate this into 2 or more shapes?

Multiple Choice

A composite figure is...

• A figure that is made up of more than one regular shape such as triangles, circles, rectangles, and trapezoids.

• A 3-dimensional figure that must be flattened to find the area.

• A figure often used in essays and musical compositions.

• A shape or drawing that a 2 year old would draw.

Multiple Choice

To find the area of a composite figure, you must...

• divide the figure into regular shapes that have area formulas and solve for their areas. Then you must find the sum of all of the areas.

• use the formula of the shape that looks most like the composite figure.

• close your eyes and randomly type in numbers in your calculator and hope for the best.

• multiply the base by 3.14 and square the height.

Multiple Choice

What is the area of the shaded region?

• 23.1 cm²

• 5.1 cm²

• 17.4 cm²

• 37.3 cm²

Multiple Choice

Find the area of the figure shown.

• 34 units²

• 960 units²

• 220 units²

• 480 units²

Multiple Choice

Find the area of the following composite figure:

• 90 ft²

• 90 m²

• 117 m²

• 58.5 m²

Multiple Choice

Find the area of the following composite figure:

• 29.12 ft²

• 10.28 ft²

• 16.56 ft²

• 54.24 ft²

Multiple Choice

What is the area of this shape?

• 63 cm2

• 37 cm2

• 73 cm2

• 36 cm2

Multiple Choice

Find the area of this shape

• 40 $ft^2$

• 49 $ft^2$

• 9 $ft^2$

• 61 $ft^2$