Formulas
Is this formula (L + W) x 2, for the area or perimeter of a rectangle?
Perimeter
A rectangle has a length of 6 cm and a width of 4 cm.
Find its perimeter.
Forumla: (L+W)x2
P = 2(6 + 4) = 2(10) = 20 cm
A rectangle has a length of 12cm and a width of 5cm. What is the area?
Formula: LxW
60cm2
A rectangular classroom has a width of 6 meters and an area of 54 square meters.
What is the length of the classroom?
Formula: LxW
Lx6 =54
L=54/6=9
The area of a rectangle is found by multiplying length × width.
T or F
True
Fill in the blank for the area of a rectangle formula
_ x W
L x W
A rectangle is 9 meters long and 2 meters wide.
What is the total distance around it?
Formula: (L+W)x2
P = 2(9 + 2) = 2(11) = 22 meters
A rectangle is drawn on a grid. It covers 3 rows and 5 columns of unit squares.
What is the area of the rectangle in square units?
Formula: LxW
15 square units
A rectangular garden has a width of 5 meters and a perimeter of 26 meters.
What is the length of the garden?
Formula: (L+W)x2
26=2×(L+5)
13=L+5
L=13−5=8
A 4 m by 7 m garden has an area of 28 square meters.
T or F
True
Fill in the blank for the perimeter of a rectangle formula (L _ W) x _
(L + W)x 2
The perimeter of a rectangle is 28 cm. The length is 8 cm. What is the width?
28 = 2(length + width)
28 = 2(8 + w)
28 = 16 + 2w
12 = 2w
w = 6 cm
A rectangle has a length of 7 units and a width of 2 units.
Find the area.
14 square units
A classroom rug is 8 feet long and 5 feet wide.
A rectangle with sides 5 and 4 has an area of 9.
False
What is the area formula for a rectangle?
L x W
A rectangle has a width of 5 ft. Its length is 3 ft longer than the width. Find the perimeter.
Width = 5 ft
Length = 5 + 3 = 8 ft
P = 2(8 + 5) = 2(13) = 26 ft
A rectangle garden is 8 meters wide and 15 meters long. How many square meters of space does it cover?
120m2
A figure is made by joining two rectangles side by side:
Area = (6×3) + (4×3) = 18 + 12 = 30 ft²
A rectangle that is 10 ft by 2 ft has a perimeter of 24 ft
T or F
True
What is the perimeter formula for a rectangle?
(L + W) x 2
A rectangular field has a length that is 5 meters longer than twice its width. If the width of the field is 7 meters, determine the total distance around the field.
Width = 7 m
Length = 2 × width + 5 = 2(7) + 5 = 19 m
P = 2(19 + 7) = 2(26) = 52 meters
A rectangle has a length of 20 inches. Its width is half of its length. What is the area of the rectangle?
20x10=200
An L-shaped floor is made from two rectangles:
Area = (8×5) + (3×5) = 40 + 15 = 55 m²
Cutting a rectangle into smaller rectangles changes its total area.
T or F
False
Ex:
10 × 6 = 60 square units
10 × 3 = 30
10 × 3 = 30
30 + 30 = 60 square units