Question 1
5 marksThe diagram shows a shape made from a rectangle with a smaller rectangle joined to it. All the corners are right angles.
(a)
Work out the perimeter of the shape.
(b)
Work out the area of the shape.
Area & Perimeter Practice Questions
Question 2
4 marksHere is a trapezium.
(a)
Work out the area of the trapezium.
(b)
A triangle has the same area as this trapezium.
The base of the triangle is 17 cm.
Work out the height of the triangle.
Question 0
3 marksThe 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.
Question 0
6 marksPriya is tiling a rectangular wall in a shower.
The wall measures 3.5 m by 2.4 m.
The tiles she is using are rectangles measuring 25 cm by 20 cm.
(a)
Work out how many tiles Priya needs to cover the wall exactly.
(b)
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.
Question 0
5 marksA rectangle has length (3x+1) cm and width (x+4) cm.
The perimeter of the rectangle is 58 cm.
(a)
Show that x=6
(b)
Work out the area of the rectangle.
Question 0
6 marksThe diagram shows the shape of a window.
The shape is made from a rectangle with a semicircle joined to the top.
The rectangle is 1.2 m wide and 1.8 m high.
The diameter of the semicircle is 1.2 m.
(a)
Work out the area of the window.
Give your answer correct to 2 decimal places.
(b)
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.
Question 0
2 marksHere is a triangle drawn on a centimetre grid.
On the grid, draw a parallelogram that is equal in area to this triangle.
Question 0
6 marksThe diagram shows a trapezium.
The two parallel sides have lengths x cm and (x+4) cm.
The distance between the parallel sides is x cm.
The area of the trapezium is 48 cm2.
(a)
Show that x2+2x−48=0
(b)
Work out the length of each of the two parallel sides of the trapezium.
Question 0
5 marksThe diagram shows a square of side 10 cm.
A point is marked on each side of the square so that it divides that side into lengths of 3 cm and 7 cm, as shown.
The four points are joined to form the shaded quadrilateral.
(a)
Work out the area of the shaded quadrilateral.
(b)
Write the shaded area as a percentage of the area of the square.