Area & Perimeter Practice Questions

Work out the perimeter of the shape.

Work out the area of the shape.

Work out the area of the trapezium.

A triangle has the same area as this trapezium.
The base of the triangle is $17$ cm.

Work out the height of the triangle.

The diagram shows a rectangular lawn with a circular pond cut out of it.

The rectangle measures $14$ m by $10$ m. The pond has a diameter of $6$ m.

Work out the area of the lawn that is grass.
Give your answer correct to 1 decimal place.

Work out how many tiles Priya needs to cover the wall exactly.

The tiles are sold only in packs of $10$ tiles.
Each pack costs £$7.20$

Work out the total cost of the tiles Priya needs.

Show that $x=6$

Work out the area of the rectangle.

Work out the area of the window.
Give your answer correct to 2 decimal places.

A metal frame is fitted all the way around the edge of the window.

Work out the total length of the frame.
Give your answer correct to 2 decimal places.

Here is a triangle drawn on a centimetre grid.

On the grid, draw a parallelogram that is equal in area to this triangle.

Show that $x^2+2x-48=0$

Work out the length of each of the two parallel sides of the trapezium.

Work out the area of the shaded quadrilateral.

Write the shaded area as a percentage of the area of the square.