Area and Perimeter Word

Adam was painting a wall in his room. The wall was 4 feet wide and 4 feet tall. What is the area of the wall he has to paint?

• 16ft

• 8ft

• 12ft

• 4ft

Find the perimeter of this shape:

• 14

• 45

• 28

• 23

Find the perimeter of this shape:

• 25 cm

• 16 cm

• 63 cm

• 26 cm

Kayla wants to build a fence in her backyard. The length of her backyard is 30 feet and the width is 45 feet.

How many feet of fence will she need to buy?

• 75 feet

• 1350 square feet

• 1350 feet

• 150 feet

Jenny's room is 13 feet long and 12 feet wide. Ruth's room is 14 feet long and 11 feet wide. Whose room has the greater perimeter?

• Jenny

• Ruth

• They are the same

A plan for a new rectangular swimming pool has an area of 50 square meters and a perimeter of 30 meters. What are the length and width?

Two pizzerias are competing for business. Pizzeria A offers a square pizza with sides measuring 40cm, while Pizzeria B offers a circular pizza with a diameter of 45cm. Which pizzeria offers more pizza (in terms of area), and by how many square centimetres?

Answer explanation

Calculate the area of the square pizza (Pizzeria A)

- A = 40 cm × 40 cm = 1,600 cm²

Calculate the area of the circular pizza (Pizzeria B)

- Formula for area of a circle: A = πr²

 - radius = 45 cm ÷ 2 = 22.5 cm

- A = π × (22.5 cm)²

- A ≈ 3.14 × 506.25 cm² ≈ 1,589.63 cm²

Compare the areas

- Square pizza (Pizzeria A): 1,600 cm²

- Circular pizza (Pizzeria B): 1,589.63 cm²

- Difference = 1,600 cm² - 1,589.63 cm² = 10.37 cm²

A school is renovating a classroom with an unusual shape. The room consists of a rectangle measuring 85m by 62m, with a semicircle attached to one of the longer sides. What is the total area of the floor that needs to be covered with new tiles?

Answer explanation

Area of rectangle

= 85 m × 62 m = 527 m²

Calculate the area of the semicircle:

 The diameter of the semicircle is equal to the length of the rectangle 

   - Radius of semicircle = 85 m ÷ 2 = 42.5 m

   - Area of full circle = πr² = π(42.5)² ≈ 567 m²

   - Area of semicircle = 567 m² ÷ 2 ≈ 284 m²

Total area = Area of rectangle + Area of semicircle

         = 527 m² + 284 m² 

Farmer John walks his pet pig around his barn every day. The barn is 25 meters by 12 meters. If we walks the pig around the barn three times, how many meters did farmer John and his pig walk?

Mia wants to build a fence around her rectangular garden. The garden measures 8.6 metres long and 6.1m wide. How much fencing material does she need to purchase?

Answer explanation

Perimeter = 2(length + width) = 2 × (8.6 + 6.1)

=  29.4 metres

Fencing Material = 30m