Man
n
a
or Floor Pl
Lord's Rooms
Stairs
Bathroom
Kitchen
Closet
Stairs
Stairs
Indoor
Garden
Guest Rooms
Stairs
Hall
Ball Room
Sitting Room
1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2
1/2 1/2 1/2 1/2 1/2
1/2
Perimeter and Area
Lord's Manor Floor Plan
Teaching Tips
-The X's are stairs.
-The hallway and the lord's room can be broken down in different ways. The key shows one
way. You can decide if you'd like for the equations to be written down for the stairs and parts
of the hallway.
-For the rectangles with fractions, the main area is written as a multiplication equation and then
the fractions are added to it. Model how to set up this equation and the order to solve it to avoid
student confusion.
- An area model is used for the double digit multiplication for the total area. This page is
available without the area model as well for additional solving methods.
Lord's Rooms
Bathroom
Kitchen
Stairs
Closet
Stairs
Stairs
Indoor
Garden
Guest Rooms
Stairs
Hall
Sitting Room
1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2
Ball Room
1/2 1/2 1/2 1/2 1/2 1/2
What is an Area Model?
An area model takes the array for the multiplication problem and breaks it into smaller arrays
to easily solve double or triple digit multiplication.
Arrays
3 x 4 or 4 x 3
2 x 8 or 8 x 2
Large Array
Broken Up Array
rows
columns
rows
columns
10
10 x 10
=100
10 x 4
=40
140
2
2 x 10=20
2 x 4=8
+28
168
4
10
12 x 14 = 168
12 x 14
Area Model
Grid Area Model
10
2
10 x 10
=100
2 x 10=20
10
10 x 4
=40
2 x 4=8
4
12 x 14= 168
140
+28
168
Blank Area Model
10
10 x 10 =100
10 x 4 =40
140
2
2 x 10=20
2 x 4=8
+28
12
4
10
14
168
Name:______________
Lord's Manor Floor Plan
Use the floor plan model to find the length and width of each room. Write the equations below for
each room and then the answers. Remember: Area= length x width and Perimeter= side+side+side+side.
Stairs
Closet
Stairs
Lord's Rooms
Bathroom
Kitchen
Stairs
Indoor
Garden
Guest Rooms
Stairs
Hall
Ball Room
Sitting Room
1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2
Equations
1/2 1/2 1/2 1/2 1/2 1/2
Equations
Answer
Answer
Kitchen:
A=
A=
P=
P=
Closet:
A=
A=
P=
P=
Guest Rooms:
A=
A=
P=
P=
Sitting Room:
A=
A=
P=
P=
Ball Room:
A=
A=
P=
P=
Indoor Garden:
A=
A=
P=
P=
Bathroom:
A=
A=
P=
P=
Lord's Manor Floor Plan
Stairs: Find the total area of all stairways in the space below.
Hallways: Break the hallways into smaller
rectangles to find the area. Add areas together
in the space below for the total.
A= ___
Lord's Rooms: Break the Lord's Rooms into two smaller
rectangles to solve for area. Use the space below to find the total
area of the smaller rectangles combined. Then find the perimeter of
the Lord's Rooms as one room.
A= ___
P= ___
A= ___
Lord's Manor Area: Use the area model to help you multiply the length and width. Add the sums in the
space below. Don't forget to add the fractions to the total.
_____ x _____ +_____
length
width
10
fractions
14
4
10
9
19
Lord's Manor Area=_____
Lord's Manor Perimeter: Use the space below to add up the sides to find the perimeter.
____ +____+____+____
side
side
side
side
Lord's Manor Perimeter=____
Lord's Manor Floor Plan
Stairs: Find the total area of all stairways in the space below.
Hallways: Break the hallways into smaller
rectangles to find the area. Add areas together
in the space below for the total.
A= ___
Lord's Rooms: Break the Lord's Rooms into two smaller
rectangles to solve for area. Use the space below to find the total
area of the smaller rectangles combined. Then find the perimeter of
the Lord's Rooms as one room.
A= ___
P= ___
A= ___
Lord's Manor Area: Multiply the length and width in the space below. Don't forget to add the fractions to the
total.
_____ x _____ +_____
length
width
fractions
Lord's Manor Area=_____
Lord's Manor Perimeter: Use the space below to add up the sides to find the perimeter.
____ +____+____+____
side
side
side
side
Lord's Manor Perimeter=____
Lord's Manor Floor Plan
Hallways: Break the hallways into smaller
rectangles to find the area. Add areas together
in the space below for the total.
Stairs: Find the total area of all stairways in the space below.
3x1=3
2x2=4
3x1=3
2x2=4
2
14 cm
1 x 2= 2
10
2 x 4=8
2 x 2=4
10
3 x 2=6
4 x 1=4 25
7 x 3=21
2
___
cm
A=14
Lord's Rooms: Break the Lord's Rooms into two smaller
rectangles to solve for area. Use the space below to find the total
area of the smaller rectangles combined. Then find the perimeter of
the Lord's Rooms as one room.
Area
1 x 3=3
7+4+2+6+3+6
+2 + 4 = 34 cm
2
46 cm
A= ___
21
3 x 6=18
3 x 2=6
39
8
2 x 1=2
3 x 2=6
10
4 x 1=4
7 x 2=14
6 x 1=6 20
35
6 x 2 +3=15
Perimeter
7 x 4 = 28
2
= 46 cm
3 x 6 = 18
45
cm
___
P= 34
45+39+35=119cm2
___
cm
A= 119
2
Lord's Manor Area: Use the area model to help you multiply the length and width. Add the sums in the
space below. Don't forget to add the fractions to the total.
1
19 x _____
92
14 +_____
_____
length
width
10
fractions
100
90
= 190
40
36
=76
14
4
190 + 76 = 266
10
266 + 9 12 = 275 12
9
19
* Area is the same total area as the Keep Floor Plans
1
2
275 2 cm
Lord's Manor Area=_____
Lord's Manor Perimeter: Use the space below to add up the sides to find the perimeter.
14 12 19
14 12
19 +____+____+____
____
side
side
side
side
19 + 19 = 38
14 12 + 14 12 = 29
38 + 29 = 67
* Perimeter is the same total perimeter as the Keep Floor Plans
67 cm
Lord's Manor Perimeter=____
Lord's Manor Floor Plan
Use the floor plan model to find the length and width of each room. Write the equations below for
each room and then the answers. Remember: Area= length x width and Perimeter= side+side+side+side.
2x4
Stairs
Lord's Rooms
2x2
7x4
Stairs
1x3
Closet
4x1
3x2
Stairs
3x2
Bathroom
Kitchen
1x2
7x3
3x6
3x6
2x1
3x2
Guest Rooms
Indoor
Garden
4 x 1 Stairs
7x2
Hall
6x1
Sitting Room
Ball Room
6 x 2 +3
1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2
Equations
1/2 1/2 1/2 1/2 1/2 1/2
Equations
Answer
Answer
Kitchen:
A= 3 x 4
A= 12 cm2
P=
3+4+3+4
P= 14 cm
Closet:
A= 2 x 3
A=
6 cm
2
P=
2+3+2+3
P= 10 cm
Guest Rooms:
A= 6 x 3
A= 18 cm2
P=
P= 18 cm
2
A=17 1
2cm
6+3+6+3
P=
7 + 212 + 7 + 2 12
P= 19 cm
Sitting Room:
A= 7 x 2 + 3 1
2
Ball Room:
A= 6 x 4 +3
A= 27cm2
P=
6 + 4 12 + 6 + 4 12
P= 21 cm
Indoor Garden:
A= 4 x 2
A=
8 cm2
P=
4+2 +4+2
P= 12 cm
Bathroom:
A= 2 x 4
A=
P=
2+4 +2+4
P= 12 cm
8 cm2
Like this Freebie?
It's a part of the Castle Architect Project!
This freebie is the teacher's example for
the keep floor plans. Build the whole castle!
Click the picture to check it out!
More Resource Fun
Front Cover Font By: TeachesThirdInGeorgia
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