If a rectangle has an area of 56 square cm and a length of 7cm, what is the width?
When in doubt, draw it out.
8 cm
Michaela wants to order a rug for her bedroom. To make sure it fits, does she need to know the area or perimeter of the room?
Area
What is the formula for perimeter? (How do I calculate perimeter?
P= The sum of all sides
A rectangular countertop is 3 feet long and 9 feet wide. What is the area and perimeter of the countertop?
A= 9x3= 27 sq. ft
P= 3+9+3+9= 24 feet
What is the formula for area? (How do I calculate area)?
A = L x W
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?
18/3= 6 feet
What is the perimeter of this shape in cm?
P= 32 cm
9 + 7 + 9 + 7= 32
Find the perimeter of the figure below.
L = 8 W= 12
8+12+8+12= 40 units
Rosita is building sandbox for her backyard. She needs it to have an area of 45 feet. The length of the sandbox is 9 feet. What is the width?
45 divided by 9= 5 feet
What is the area of this shape in feet?
Area: 4 x 5 = 20 sq. feet
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 are 19 feet and 31 feet. How long is the third side?
When in doubt, draw it out.
76 - 50= 26 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. Do you agree? Why?
No
Figure Q: Area= 3 x 4= 12 sq. feet
Figure Q Perimeter = 3+4+3+4= 14 feet
Figure R Area: 2 x 6 = 12 sq. feet
Figure R Perimeter: 2+6+2+6= 16 feet
What is the perimeter of a square room that has a length of 8 feet?
32 feet
Susan is putting a fence around a new rectangular playground. She used 24 feet of fencing. The length of the playground is 8 feet. What is the width?
When in doubt, draw it out!
P=
24= 8 + 8 + w + w
24= 16 + w + w
8= w + w
8 divided by 2 = 4 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.
15 square units
Amina can find the area of the rectangle by multiplying width times length.
A 5 sided shape has a perimeter of 47 cm. 4 of its sides have the following measurements:
12, 9, 4, 18
What is the measurement of the missing side?
4 cm
Tyler is putting a fence around his rectangular backyard. He ordered an exact amount of 150 feet. The length of his yard is 45 feet long. How wide is his yard?
30 feet wide
45+45+30+30= 150
Aveer is putting up new chicken wire around his chick coop. The rectangle coop has a length of 16 feet and a width of 22 feet. How much chicken wire does he need to buy?
76 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 sq. centimeters
Perimeter: 7+7+7+7= 28 centimeters
Find the area of this shape by Decomposing it into 2 smaller shapes
There is more than one way to solve.
(3x8) + (2x4)=
24 + 8= 32 square units
A. What is the length of each side of the equilateral hexagon?
B. What is the length of the missing side of the triangle?
A. 48/6= 8 feet
B. 28-12=16 inches
Juan is mowing a lawn that is 10 yards wide and 4 yards long. He has mowed 1/2 of it. How much area does he have left?
20 sq. yards
Mr. Mazzuchelli was putting up a new railing around his deck. The deck has a length of 17 feet and a width of 28 feet. He bought 100 feet of railing. How much does he have left over?
When in doubt, draw it out.
10 feet
Mrs. Hess has a living room with a length of 8 feet and a width of 9 feet. She puts down a rug that has a length of 4 feet and a width of 5 feet. How much of the floor IS NOT covered?
52 square feet
9x8= 72
4x5= 20
72-20= 52 square feet
What is the area of this shape?
19 square cm