Perimeter and Area

Question 1

If a square has sides 3cm long, what is its area?

Answer 1

9cm²

Question 2

A woman takes her dog for a walk around the edge of a rectangular park that is 500m wide and 1.5km long and ends where she started. How far has she walked?

Answer 2

4km or 4000m

Question 3

How would you find the area of any triangle?

Answer 3

Times the length of its base by its height, then divide by two

Question 4

What is the area of this shape?

Answer 4

28cm²

Question 5

What is the perimeter of this shape?

Answer 5

22cm

Question 6

What units is perimeter usually measured in?

Answer 6

Millimetres (mm), centimetres (cm) or metres (m)

Question 7

What units do we usually measure area in?

Answer 7

Centimetres squared (cm²) or Metres squared (m²).

Question 8

What is the area of this rectangle?

Answer 8

160cm²

Question 9

What is the area of this triangle?

Answer 9

14cm²

Question 10

This circle has a radius of 4cm. What is its area?

Answer 10

50.256cm²

Question 11

What is area?

Answer 11

The amount of space inside a 2D shape

Question 12

What is perimeter?

Answer 12

The total length of all of a 2D shapes sides.

Question 13

The square below has an area of 36cm². What length are its sides?

Answer 13

All four sides are 6cm long

Question 14

How would you calculate the area of a rectangle?

Answer 14

Times its width by its length

Question 15

How would you calculate the area of a shape like the one below?

Answer 15

Split the shape into two rectangles, calculate the area of each then add them together

Question 16

How would you calculate the area of a semicircle like the one below?

Answer 16

A semicircle is half of a circle, so if we calculate the area of a full circle with the same radius and half it, we will find the area of the semicircle.

Question 17

What is the area of this trapezium?

Answer 17

Formula for the area of a trapezium is h(b+a) ÷ 2

Area = 38cm²

Question 18

A section of pavement 5m wide and 300m long requires paving with 0.5m x 0.5m square paving slabs. How many paving slabs will be needed to pave the enture section of pavement?

Answer 18

Area of pavement = 5m x 300m = 1500m²

Area of a single paving slab = 0.5m x 0.5m = 0.25m²

Number of slabs required to cover the pavement = 1500m²÷ 0.25m² = 6000

Question 19

Ali bakes the cake below. He would like to wrap a red ribbon around it as shown, but needs to calculate how long the piece of ribbon needs to be to fit all the way around the cake. How could he do this, and how long will the ribbon need to be?

Answer 19

The cake is a rectangle when viewed from above, and the length of the ribbon will have to equal the perimeter of that rectangle.

The ribbon will have to be 100cm long

Question 20

What is the formula for finding the area of a circle?

Answer 20

Area of a circle = πr²

Question 21

What is the formula for finding the circumference of a circle?

Answer 21

Circumference = πD

Or 2πr

Question 22

What is the formula for the area of a triangle?

Answer 22

Area of a triangle = b x h ÷ 2

Question 23

What is the formula for the area of a parallelogram?

Answer 23

Area of parallelogram = Base x Perpendicular Height