Calvin has 8 identical rectangular tiles and 4 identical square tiles. He arranges the tiles to fit exactly round the edge of a rectangle, as shown in the diagram below.

Work out the area of one of Calvin’s rectangular tiles
8 questions · 30 marks · ≈ 30 min
Calvin has 8 identical rectangular tiles and 4 identical square tiles. He arranges the tiles to fit exactly round the edge of a rectangle, as shown in the diagram below.

Work out the area of one of Calvin’s rectangular tiles
The width of a rectangle is 8 cm less than the length of the rectangle. The perimeter of the rectangle is 54 cm.
Find the area of the rectangle.
The diagram shows a circle and a trapezium.

The height of the trapezium is cm.
The area of the circle is equal to the area of the trapezium.
Work out the value of . Give your answer correct to 1 decimal place.
The diagram shows a rectangle measuring 10cm by 3 cm.

A shape is made by placing 3 of these rectangles together as shown in the diagram.

Work out the perimeter of the shape.
Baasit has 8 identical rectangular tiles and 4 identical square tiles. He arranges the tiles to fit exactly around the edge of a rectangle, as shown in the diagram below.

Work out the area of one of Baasit's square tiles.
The diagram shows a rectangle and an isosceles triangle.

The perimeter of the rectangle is equal to the perimeter of the triangle.
Find the area of the rectangle
Here is a centimetre grid
On the grid, draw a rectangle with an area of 20cm2

The width of a rectangle is 6 cm less than the length of the rectangle. The perimeter of the rectangle is 26 cm.
Find the area of the rectangle.
........... cm2