5-Minute Check Find the area of each figure.

1. A rectangle 3 inches by 7 inches. 2. A rectangle 2 cm by 8 cm. 3. A square with sides of 5 yd. 4. A square with 9 ft. per side.

Measurement: Area of Complex Figures

By Mr. Bales

Objective

By the end of the lesson, you will be able to find the area of complex figures.

Standard 4MG1.4 - Students will understand and use formulas to solve problems involving…areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.

Teach

With me, draw the letter L in block style on your graph paper. We will be dividing the letter into 2 small rectangles.

What is the formula we can use to find the area of each rectangle?

A = l x w Find the area of each rectangle using the formula.

Check answer by counting the squares. Explain how we would find the area of the letter

L.

Rhys Luke is staying at a hotel that has a

swimming pool shown. Luke wants to know the area of the pool. How can he find the area?

Complex Figure A complex figure is made up of

two or more shapes. To find the area of a complex figure, break the figure into smaller parts.

Area of Complex Figure Find the area of the swimming pool at

Luke’s hotel. Step 1 - Break the figure into smaller parts.

Look for the rectangles and squares.Rectangle10 m

10 m

12 m

6 m

6 m

12 m 10 m

Square

Let’s watch the Concept in Motion!!

Area of a Complex Figure

Rectangle A = length x width A = l x w A = 12 m x 6 m A = 72 square

meters

Square A = side x side A = s x s A = 10 m x 10 m A = 100 square

meters

• Step 2 - Find the area of each part.

Step 3 - Add the areas.• The area is 72 + 100 or 172 square meters.

Let’s Hear From Mr. Hardesty!!

"Here you are Mr. Bales!" uttered the computer. "Why, thank-you computer, " exclaimed Mr. Bales

Bales Bucks!!

Assignment Page 456 - #’s 6 - 11 Get them all correct, No Math

Homework