Intro to Area
What is area?
Area is inside of a shape (2D)
What are the dimensions used to calculate the area of a triangle?
Base and height.
Find the area of a rectangle that has a length of 6cm and a width of 5 cm.
A = 30 cm^2
The classroom is getting new flooring. If the room has a length of 3m and a width of 2m, how much flooring will the room need?
The room will need 6m^2 of flooring.
Dave is painting his room. He needs to determine how much paint he needs altogether. His room has 4 rectangular walls each with dimensions 8ft by 12ft.
a) How much paint he needs to cover 1 wall?
Dave needs:
Area = 8ft x 12ft = 96 ft^2
What is the area formula for a square?
A = s * s
Find the area of a square that has a side length of 12cm.
A = 144 cm^2
Find the area of a square with side length 7 in.
A = 49 in^2
You want to put a carpet in your room that measures 2.6m by 3.7m. Estimate how much carpet you need.
2.6m ->3m
3.7m->4m
A = 3x4 = 12m^2
Find the total area of four walls.
Area = 96ft^2 x 4 = 384ft^2
What units do you measure area in? Give examples.
Square units (m^2, cm^2, in^2, ft^2)
What is a shape made of 2 or more different shapes called?
Composite shape.
Find the area of a right triangle with base = 7 cm and height = 8cm.
A = 28 cm^2
Find the cost of carpet needed to cover the room that measures 2.6m by 3.7m if every meter squared costs $29.99.
Area = 2.6 x 3.7 = 9.62 m^2
Cost = Area x Unit Cost
Cost = 9.62 m^2 x $29.99 = $288.50
Paint can be purchased in cans that cover 100 square feet. How many cans does he need to do one coat?
Number of cans = 384 ft^2 /100 ft^2 = 3.84 cans rounded to 4 cans of paint.
What does the s stand for in the square area formula?
Side length.
Find the area of a triangle if it has a base of 6m, a height of 8 m, and two side lengths that equal 3m.
A = 24m^2
Find the area of a triangle with base = 9cm, side one = 7cm, side two = 3cm, and height = 2cm.
A = 9cm^2
How much HST would you pay on your total cost of carpet?
$288.50 x 0.13 = $37. 51
How many cans does he need to do 2 coats of paint?
8 cans of paint
What is the area for a triangle?
A = (b * h) /2
How do you find the area of composite shapes?
By dividing the shape into 2 or more shapes and adding their areas.
What is your total cost of carpet including HST?
$288.50 + $37.51 = $326.01
If each can is $19.99 plus tax, determine the total cost of paint if he wants to do 2 coats.
Total cost = $22.59 x 8 = $180.72