Master in Area & perimeter

What is the area of the shape below?

• 33 cm²

• 70 cm²

• 70 cm

• 38cm

• 48 cm²

Answer explanation

The area of the rectangle is 5 × 12 = 60 cm².

The triangle has a base with a length of 22 − 12 = 10 cm and a height of 5 − 3 = 2 cm.

So the area of the triangle is

= 1/2 x base X height

= 1/2×10x2 = 10 cm².

So the total area of the shape is 60 + 10 = 70 cm².

Bertha’s garden is shown below.

What is the area of her patio?

• 16m2

• 24m2

• 12m2

• 70m2

• 14m2

What is the perimeter of the rectangle below?

• 22m

• 11m

• 19m

• 24m

• 14m

What is the area of the shape below?

• 85 cm²

• 70 cm²

• 75 cm²

• 80 cm²

• 65 cm²

A rectangle has a perimeter of 20 cm. The width of the rectangle is 6 cm less than its length.

What is the area of this rectangle?

• 24 cm²

• 25 cm²

• 16 cm²

• 20 cm²

• 21 cm²

Look at the shape below.

Which one of the following shapes has the same area?

• A square, side length 5 m.

• A triangle, base 10 m, height 4 m.

• A parallelogram, base 7 m, vertical height 3 m

• A parallelogram, base 5 m, vertical height 5 m

• A rectangle, width 4 m, length 5 m.

What is the area of the triangle below?

• 88 m²

• 48 m²

• 38 m²

• 52 m²

• 44 m²

A rectangle has a width of 25 cm. Its length is twice its width.

What is the perimeter of this rectangle?

• 125 cm

• 150 cm

• 175 cm

• 200 cm

• 75 cm

Alfie is building a fence around the edge of his garden, shown below. The material for the fence costs £3 per metre.

How much will his fence cost?

• £153

• £32

• £60

• £111

• £96

Two rectangular fields each measure 100 m by 72 m. There is a tree for every 6 m² of land in the fields.

How many trees are there altogether?

• 172

• 7200

• 1200 

• 400 

• 2400 

Answer explanation

The area of each field is 100 × 72 = 7200 m². Divide by the amount of space each tree needs to find the number of trees in one field: 7200 ÷ 6 = 1200 trees.

There are two fields, so there are 1200 × 2 = 2400 trees altogether.