Area & Perimeter (Edexcel GCSE Maths: Foundation)

The length, , of a rectangle is 3 cm longer than the width, .
The perimeter of the rectangle is 26 cm.

Calculate the length, , and the width, .

The diagram shows the plan of part of Rachel’s garden.

Calculate the area.

........................................... m²

Calculate the area of the trapezium.

......................................... cm² 

Find an expression for the perimeter of this triangle.
Give your answer in its simplest form.

The diagram shows a rectangular patio with sides 6m and 8m.

i) Work out the perimeter of the patio.

............................................. m [1]

ii) Henri covers the patio floor with square tiles.
The tiles are 0.5m by 0.5m.

Work out the number of tiles he needs.

[2]

The diagram shows the floor of a room.

i) Calculate the area of the floor.

............................................... m² [2]

ii) Henry buys varnish for the floor of the room.
500ml of varnish covers 8m² of floor.

Calculate the amount of varnish Henry needs.

............................................... ml [2]

The diagram shows one wall of the room.

Calculate the area of the wall.

............................................... m²

The diagram shows a shape made from two rectangles.

i) Work out the perimeter.

.............................................. cm [2]

ii) Work out the area.

............................................. cm² [2]

The scale drawing shows a play area, .
The scale is 1 centimetre represents 3 metres.

Find the actual distance  in metres.

.............................m 

Find the actual area of triangle .

............................................ m² 

Calculate the area of this trapezium.

.................................. m² 

Find an estimate for the area of the shape drawn on this 1 cm² grid.

............................... cm² 

The area of triangle is 27 cm² and = 6 cm.

Calculate the value of .

= ................................................. 

The area of the parallelogram is the same as the area of the trapezium.

Work out the value of .

= ................................................ 

Rectanglemeasures 3 cm by 8 cm.

Five rectangles congruent to are joined to make a shape.

Work out the perimeter of this shape.

........................................... cm

A square has perimeter 12.

Find an expression, in terms of , for the area of the square.
Give your answer in its simplest form.

The diagram shows a semicircle with diameter.
B is a point on the circumference and .

Work out the area of triangle .

.......................................... cm² 

The diagram shows a right-angled triangle.

Calculate the perimeter.

............................................ cm 

The diagram shows the front of Pranav’s house.

i) Work out the total area of the front of his house.

............................................ m² [3]

ii) The door is 0.9 m wide and 2.1 m high.
Each of the four windows are 1.5 m wide and 1.2 m high.

Work out the total area of the door and the four windows.

............................................ m² [3]

iii) Pranav paints the front of his house but not the door and not the four windows.

Work out the area he paints.

............................................ m² [1]

The area of this triangle is 363cm².

Calculate the value of .

..............................