Composite Figures and Area Calculations

This video tutorial for grade 7 math focuses on solving area problems for composite figures. It explains how composite figures are made up of simpler shapes like triangles and quadrilaterals. The video demonstrates how to calculate the area by dividing the composite figure into non-overlapping simple shapes, using formulas for each shape, and summing their areas. Two example problems are solved: one involves calculating the cost of carpeting a room, and the other involves determining the number of pavers needed for a patio. The tutorial emphasizes the importance of using formulas and provides practical advice for organizing them for easy access.

What is a composite figure made up of?

• A single shape

• Two or more simpler figures

• Only triangles

• Only quadrilaterals

Why is it important to divide a composite figure into simpler shapes?

• To calculate the area accurately

• To find the perimeter easily

• To make it look more complex

• To change its color

What should you do with the formulas for area calculation?

• Write them down for easy access

• Use them only once

• Memorize them

• Ignore them

In the example of the room, what shapes were identified?

• Hexagon and octagon

• Square and pentagon

• Rectangle and trapezoid

• Circle and triangle

How is the area of a trapezoid calculated?

• Base times height

• Length times width

• Half times height times the sum of the bases

• Base plus height

What is the total area of the room in square feet?

• 276 square feet

• 240 square feet

• 300 square feet

• 200 square feet

How do you convert square feet to square yards?

• Multiply by 9

• Subtract 9

• Divide by 9

• Add 9

What is the cost to carpet the room before tax?

• $705.18

• $600.00

• $800.00

• $500.00

What shapes are identified in the patio problem?

• Triangle and rectangle

• Circle and square

• Hexagon and pentagon

• Oval and trapezoid

How is the area of a triangle calculated?

• Half base times height

• Length times width

• Base times height

• Base plus height