Mr. Sim’s yard has 4 sides.
• The distance around the yard is 176 feet.
• Three sides of his yard measure 48 feet, 37 feet, and 56 feet.
What is the length of the fourth side?
48+37+56= 141
176-141= 35
Area:
Perimeter:
Area: 4 x 5 = 20
Perimeter: 4+5+4+5 = 18
Find the area of the figure below. Use the Distributive Property to solve.
8 x 12=
(8 X 10) + (8 X 2)=
80 + 16 = 96 square units
A rectangular countertop is 3 feet long and 9 feet wide. What is the area and perimeter of the countertop?
P=3+9+3+9= 24 feet
A= 27 feet
Some paint spilled on Amina’s rectangle before she could count all the squares. What is the area of Amina’s rectangle? Explain to Amina how you can find the area without counting all the squares.
5 x 3= 15
Amina can find the area of the rectangle by multiplying width times length.
Eli has a garden shaped like a triangle with equal length sides. The perimeter of Eli’s garden is 18 feet. What is the length of one side of his garden?
P=18 feet
18/3= 6 feet
Area: Perimeter:
Area:
Perimeter:
Area: 7 x 9= 63
Perimeter: 9+7+9+7= 32
Find the perimeter of the figure below.
L = 8 W= 12
8+12+8+12=40
Rosita is building a chicken coop for her backyard. She needs it to have an area of 45 feet. The length of the coop is 9 feet. What is the width?
45/9= 5 feet
Mia said that Figure Q and Figure R have equal areas and equal perimeters. She supported her thinking by saying that any two figures with the same area always have the same perimeter.
Figure Q: Area= 3 x 4= 12 sq. cm
Figure Q Perimeter = 3+4+3+4= 14 cm
Figure R Area: 2 x 6 = 12 sq. cm
Figure R Perimeter: 2+6+2+6= 16 cm
Eugene is making a triangular garden. She wants to build a fence around it. She used a total of 76 feet of fencing. 2 of the side lengths were 19 feet and 31 feet. How long is the third side?
19+19+31= 69 feet
76 - 69= 7 feet
Michaela ordered a rug for her bedroom. The rug is 7 feet wide and 6 feet long. What is the area of her rug?
7 x 6= 42 feet sq.
Juan has to mow a lawn that is 12 yards wide and 4 yards long. What is the area of the yard he has to mow?
Use the Distributive Property to solve.
(10 x 4) + (2 x 4) =
40 + 8 = 48 yards
Susan is putting a fence around a new playground. She used 20 feet of fencing. What is one possible drawing of her playground? Include the length and width.
4 x 5= 20
2 x 10 = 20
Decompose the rectangle below into two smaller rectangles and show your thinking below.
Bathroom Floor
What is the area of the bathroom floor? 5 x 13=
(5x10) + (5x3) =
50 + 15 = 65 sq. feet
Shazir is building a fence around his trapezoidal pasture. He used a total of 98 feet of fencing. Three of the side lengths were 19 feet, 12 feet, and 26 feet. What is the length of the 4th side?
19+12+26= 57
98-57= 41 feet
Tyler is putting a fence in his rectangular backyard. His backyard is 45 feet long and 37 feet wide. How many feet of fence will he need?
45+37+45+37= 164 feet
Chen is sewing curtains for a school theater. It has an area of 27 feet. It is 9 feet wide. How long are the curtains?
27/9 = 3 feet
Each side of a square piece of tissue paper is 7 centimeters long. What is the area and perimeter of the tissue paper?
Area: 7x7= 49 centimeters sq.
Perimeter: 7+7+7+7= 28 centimeters
Which equation matches the rectilinear figure below?
(4 x 2) + (8 x 5)
(3 x 8) + (2 x 4)
(4 x 5) + (8 x 3)
(5 x 4) + (3 x 3)
(3x8) + (2x4)=
24 + 8= 32 square units
Answer 2
48/6= 8 feet
28-12=16 inches
A video game map has a total area of 18 square inches. What are possible dimensions of the map?
There are 2 answers for this question.
9 x 2= 18
3 x 6= 18
A movie poster has a length of 11 feet and a width of 6 feet. What is the perimeter of the poster?
11+6+11+6 = 34 feet
Ms. Faggard has a teacher desk with a length of 4 feet and width of 2 feet. She wants to know if her new paper holder will fit on her desk. The bottom of her paper holder has a length 1 foot and a width of 2 feet. Will her new paper holder fit on her desk? Why or Why not?
4 x 2= 8 feet
1 x 2= 2 feet
Yes, Ms. Faggards paper holder will fit because the area of the desk is 8 feet and the area of the paper holder is 2 feet. She will have 6 feet left over.
The dimensions of a garden shed are shown below. Circle the equation that correctly identifies how to decompose this figure to find the total area.
A. (2 x 2) + (3 x 3) = 10 sq. cm
B. (5 x 2) + (5 x 3 )= 25 sq. cm
C. (3 x 3 ) + (2 x 5) = 19 sq. cm
D. (3 X 2) + ( 5 x 5)= 31 sq. cm
(2x5)+(3x3)=
10+9= 19
Answer choice C