Perimeter of Squares & Rectangles
What is the perimeter of a square with side length 4 cm?
16 cm (Perimeter of a square = 4 × side length)
What is the area of a square with side length 5 cm?
25 cm² (Area of a square = side length × side length)
Maria has a rectangular garden that is 4 meters long and 3 meters wide. What is the perimeter?
14 meters (Perimeter = 2 × (length + width), so 2 × (4 + 3) = 14 meters)
You want to lay out a rectangular garden in your backyard. The garden has a length of 6 meters and a width of 4 meters. How much space will it take up?
24 m² (Area = length × width, so 6 × 4 = 24 m²)
The perimeter of a square is the sum of the lengths of all four sides.
True
A rectangle has a length of 6 cm and a width of 3 cm. What is the perimeter?
18 cm (Perimeter = 2 × (length + width), so 2 × (6 + 3) = 18 cm)
A rectangle has a length of 8 cm and a width of 3 cm. What is the area?
24 cm² (Area = length × width, so 8 × 3 = 24 cm²)
A playground has a rectangular shape with a length of 20 meters and a width of 10 meters. What is the area of the playground?
200 m² (Area = length × width, so 20 × 10 = 200 m²)
A park has a rectangular walking track that is 100 meters long and 50 meters wide. How much fencing would be needed to surround the track?
300 meters (Perimeter = 2 × (length + width), so 2 × (100 + 50) = 300 meters)
To find the area of a rectangle, you add the length and the width together.
False
The perimeter of a square is 32 cm. What is the length of one side?
8 cm (Perimeter of a square = 4 × side length, so 32 ÷ 4 = 8 cm)
What is the area of a rectangle with a length of 10 cm and a width of 6 cm?
60 cm² (Area = length × width, so 10 × 6 = 60 cm²)
The area of a square is 36 cm². What is the perimeter of the square?
24 cm (Area of square = side², so side = √36 = 6 cm; Perimeter = 4 × side = 4 × 6 = 24 cm)
A square table has an area of 49 cm². What is the length of one side of the table?
7 cm (Area of square = side², so √49 = 7 cm)
If a square has an area of 36 cm², each side of the square must be 6 cm long
True
A rectangle has a length of 10 cm and a width of 5 cm. If we double the length, what will the new perimeter be?
30 cm (New length = 2 × 10 = 20 cm, New perimeter = 2 × (20 + 5) = 30 cm)
A square has an area of 81 cm². What is the length of one side?
9 cm (Area of a square = side length², so √81 = 9 cm)
A rectangular swimming pool has a length of 15 meters and a width of 7 meters. If a fence is built around the pool, how much fencing is needed?
44 meters (Perimeter = 2 × (length + width), so 2 × (15 + 7) = 44 meters)
You are making a rectangular patio for your house. The patio is 12 feet long and 8 feet wide. You want to put tiles down on the entire surface. How many square feet of tiles do you need?
96 ft² (Area = length × width, so 12 × 8 = 96 ft²)
If the length of a rectangle is doubled and the width stays the same, the perimeter of the rectangle will also double
True
A rectangular garden has a length of 12 meters and a width of 7 meters. If the length is reduced by 3 meters and the width is increased by 2 meters, what will the new perimeter be?
34 meters (New length = 12 - 3 = 9 meters, new width = 7 + 2 = 9 meters; New perimeter = 2 × (9 + 9) = 34 meters)
A rectangle has an area of 72 cm². If the length is 12 cm, what is the width?
6 cm (Area = length × width, so 72 ÷ 12 = 6 cm)
A square has an area of 144 m². If you want to build a fence around it, how many meters of fencing will you need?
48 meters (Area of square = side², so side = √144 = 12 m; Perimeter = 4 × side = 4 × 12 = 48 meters)
A new rectangular swimming pool is being built. The pool is 20 meters long and 10 meters wide. You are buying a cover for the pool that costs $2 per square meter. How much will the cover cost?
$400 (Area = length × width, so 20 × 10 = 200 m²; 200 × $2 = $400)
A square with a side length of 5 cm has a larger perimeter than a rectangle with a length of 8 cm and a width of 4 cm
False