Area of rectangles

Area of triangles

Compound area problems

Word problems

Area formulae

100

What is the area of the rectangle?

Area = 4cm x 2cm

= 8cm^{2}

100

What is the area of the below triangle?

Area = base x height / 2

= 6cm x 6cm /2

= 36cm^{2} /2

= 18cm^{2}

100

What is the area of the below shape?

Area a = 4cm^{2}

Area b = 6cm^{2}

Total area = a + b = 10cm^{2}

100

A rectangle has a length of 3 metres and a width of 4 metres. What is the area of the rectangle?

3 metres x 4 metres = 12 metres^{2}

3m x 4m = 12m^{2}

100

How do you calculate the area of a rectangle?

Area of a rectangle = length x width

200

What is the area of the rectangle below?

Area = 11cm x 4cm

= 44cm^{2}

200

What is the area of the triangle below?

Area = base x height / 2

= 4cm x 6cm /2

= 24cm^{2} /2

= 12cm^{2}

200

What is the area of the below shape?

Area a = 14cm^{2}

Area b = 15cm^{2}

Area c = 16cm^{2}

Total area = a + b + c = 45cm^{2}

200

A farmer has a square-shaped field where he keeps his cows. The length of one of the sides of the field is 30 metres. What is the area of the field?

30 metres x 30 metres = 900 metres^{2}

30m x 30m = 900 m^{2}

200

How do you calculate the area of a square?

Area of a square = side^{2}

300

What is the area of the rectangle below?

Area = 20cm x 5cm

= 100cm^{2}

300

What is the area of the triangle below?

Area = base x height / 2

= 9cm x 12cm /2

= 108cm^{2} /2

= 54cm^{2}

300

What is the area of the below shape?

Area a = 5cm x 4cm

= 20cm^{2}

Area b = 6cm x 3cm

= 18cm^{2}

Total area = a + b = 38cm^{2}

300

A typical football field is about 120m long and 80m wide. What is the area of three football fields?

1 football field = 120 x 80

= 9600m^{2}

3 football fields = 9600 x 3

= 28 800m^{2}

300

How do you calculate an area like this?

Area of composite shape = divide the shape into two rectangles, find the areas of each and add them together.

400

What is the area of the rectangle below?

Area = 34mm x 7mm

= 238mm^{2}

400

What is the area of the triangle below?

Area = base x height / 2

= 25cm x 60cm /2

= 1500cm^{2} /2

= 750cm^{2}

400

What is the area of the below shape?

Area a = 11m x 5m

= 55m^{2}

Area b = 8m x 5m

= 40m^{2}

Grey area = 8m x 3m

= 24m^{2}

Total area = a + b - grey area

= 95 - 24

= 71m^{2}

400

The area of a square is 64 cm^{2}. What is the length of a side?

Area of a square = side x side

64cm^{2} = (number) x (number)

64cm^{2 }= 8cm x 8cm

Length of a side = 8cm

400

How do you calculate the area of a triangle?

Area = base x height / 2

500

What is the area of the rectangle below?

Area = 4cm x 17cm

= 68cm^{2}

500

What is the area of the triangle below?

Area = base x height / 2

= 23cm x 17cm /2

= 391cm^{2} /2

= 195.5cm^{2}

500

What is the area of the below shape?

Area a = 6cm x 5cm

= 30cm^{2}

Base of triangle = 14-6

= 8cm

Area of triangle = base x height / 2

= 8 x 5 / 2

= 20cm^{2}

Total area = 30cm^{2} + 20cm^{2}

= 50cm^{2}

500

A classroom has a length of 20 m and a width of 30 m. The principal decided that carpet tiles would look good in that class. If each tile has a length of 1m and a width of 2m, how many tiles would they need to cover the class?

Classroom = 20m x 30m

= 600m^{2}

Tiles = 1m x 2m

= 2m^{2}

Classroom / tiles = 600 / 2

= 300 tiles

500

How do you calculate an area like this?

Area of compound shape = divide the shape into a rectangle and a triangle, find the areas of each shape and then add them together.

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