Remark
You have to do a couple of preliminary calculations before you can find the areas.
For example, how wide is the hallway and how long is it?
Step One
Find the length and Width of the Hallway going left to right.
Length of the Hallway = Width of the House - The width of the bedroom.
Length of the Hallway = 40' - 15' = 25'
Width of the Hallway = Width of the bedroom - Width of the kitchen
Width of the Hallway = 15' - 10' = 5'
Step Two
Find the dimensions to the hallway going up and down.
The length is just read from the diagram. It is 12'.
The width = The Length of the left right hallway - width of the TV room - width of the balcony
The width = 25 - 13 - 5
Step Three
Find the long base of drawing room. It is the same as the left, right hallway = 25'
Step Four
Find the area of the rooms.
<u>Kitchen</u> = L * W = 25 * 10 = 250 sq. Feet
<u>Bedroom</u> = s*s = 15 * 15 = 225 sq. Feet
left Right hallway = L*W = 25 * (15 - 10) = 25 * 5 = 125 sq. feet
Up Down Hallway = L*W = 12 * 7 = 84 square feet.
<u>Total Hallway</u> = 209 square feet.
<u>TV Room</u> = L*W = 12 * 13 = 156 square feet.
<u>Drawing Room</u>
Trapezoid 1
b1 = 13 + 7 = 20 feet
b2 = 25 feet Same as the left/right hallway.
h = 5 feet
Area = (b1 + b2)*h/2
Area = (20 + 25)*5/2 = 112.5 sqr feet.
<u>Balcony</u>
Trapezoid 2
b1 = 12 feet
b2 = 12 + 8 = 20
h = 5 feet
Area = (b1 + b2)*h/2 = (12 + 20)*5/2 = 80 square feet.
Note
I have found all the areas. Now you can arrange them and put them in order.
