Area and Coverage Calculations

This video tutorial covers solving real-world area problems for various shapes, including triangles, hexagons, semicircles, and circles. It explains how to calculate the area of these shapes and apply these calculations to practical scenarios like landscaping and painting. The tutorial also includes cost estimation for materials based on area calculations.

What is the formula for calculating the area of a triangle?

• Base * Height

• 1/2 * Base * Height

• Base - Height

• Base + Height

How do you calculate the area of a hexagon?

• By dividing it into four triangles

• By using the formula for a circle

• By dividing it into six triangles

• By using the formula for a rectangle

What is the formula for the area of a semicircle?

• 1/2 * π * r^2

• π * r^2

• π * d

• 2 * π * r

In the landscaping problem, what is the first step to find the area to be grassed?

• Subtract the non-grass areas from the total area

• Multiply the length by the width

• Add the areas of all sections

• Calculate the area of the house

How do you determine the number of bags of grass needed?

• By dividing the total area by the area covered by one bag

• By multiplying the total area by the area covered by one bag

• By subtracting the area covered by one bag from the total area

• By adding the total area to the area covered by one bag

What is the total cost of grass if each bag costs $49.98 and you need 13 bags?

• $599.74

• $749.74

• $701.74

• $649.74

What is the radius of the smallest circle in the paint coverage problem?

• 6 inches

• 12 inches

• 9 inches

• 3 inches

How much area does each can of paint cover?

• 16 square feet

• 32 square feet

• 8 square feet

• 24 square feet

What is the total area of the red paint needed?

• 282.7 inches squared

• 169.6 inches squared

• 90 inches squared

• 144 inches squared

How many ounces of paint are needed to cover the circles?

• 25.7 ounces

• 10.7 ounces

• 20.7 ounces

• 15.7 ounces