Area & Perimeter (CIE IGCSE Maths: Extended)

Find the area of triangle ABC.

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

The diagram shows the plan of a small field.

Kevin is going to keep some pigs in the field.
Each pig needs an area of 36 square metres.

Work out the greatest number of pigs Kevin can keep in the field.

The diagram shows a path around a pond.

The pond is in the shape of a rectangle with length 7m and width 4m.
The path is 3m wide.

Ali is going to cover the path with gravel.
One bag of gravel will cover 10 m² of the path.

How many bags of gravel does Ali need to buy?
You must show your working.

is a square with a side length of 
is the midpoint of .
is the point on  where

 is a right-angled triangle.

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

ABCD is a trapezium.

The perimeter of the trapezium is 56 cm.
The ratio AD : AB : DC : BC = 5 : 12 : 6 : 5.

Calculate the area of the trapezium.
Show your working.

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

Here is the floor plan of a rectangular room.

Tim buys carpet tiles for this room.

Each tile is a square measuring 50cm by 50cm.
The tiles are only sold in packs of ten.
Each pack costs £20.
Tim pays for fitting at a rate of £7.50 per square metre, with any fraction of a square metre rounded up.

Work out the total cost of the tiles and fitting.

£ .......................... 

The lengths of the sides of two squares are integers, when measured in cm.
The difference between the areas of the two squares is 36cm².

Find the lengths of the sides of the two squares.

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