Area of parallelograms: GCSE and IGCSE Maths Practice
Area and Perimeter
Area of parallelograms
11 self-marking GCSE and IGCSE practice questions on Area of parallelograms, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Instant marking with full worked solutions on every question.
A few of the 11 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 3-4
A parallelogram has a base of 4 cm and a perpendicular height of 7 cm. Calculate the area of the parallelogram.
Show the worked solution
Area of parallelogram =base×height
What are the common mistakes in Area of parallelograms?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Halves the base-times-height product for a parallelogram as if it were a triangle
Halves the base × height product as if finding a triangle's area, computing 0.5 × 11.1 × 9.1 = 50.5 instead of 11.1 × 9.1 = 101.0.
Accepts given perimeter and length/side values as consistent without checking whether they actually yield a valid (positive) value for the remaining dimension.
Accepts Finley's statement without actually checking whether a valid (positive) width can be found from the perimeter formula - the length alone already accounts for the entire perimeter, leaving no room for a width.
Omits the 1/2 factor in the triangle area formula, doubling the calculated area and propagating the error through later steps.
Calculates the triangle's area as 16×9=144 (forgetting the ½ in the triangle area formula) instead of the correct 72, which then propagates through to an incorrect value of h.
Quick answers about Area of parallelograms
How many Area of parallelograms practice questions are there?
There are 11 self-marking GCSE and IGCSE Maths questions on Area of parallelograms, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Area of parallelograms?
No. You can start practising Area of parallelograms straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
=4×7M1
=28 cm² A1
Question 23 marksGrade 5-6
A triangle has base 3 cm and height 4 cm.
A parallelogram has base 6 cm and height L cm.
The area of the parallelogram is four times the area of the triangle.
Calculate the length, L, of the parallelogram.
Show the worked solution
Triangle area: 21×3×4=6cm² M1
Parallelogram area: 4×6=24cm² M2
Parallelogram area =base×height: 6×L=24⇒L=4cm A1
Question 33 marksGrade 5
Finley draws a rectangle and says: "The perimeter is 20 cm and the length is 10 cm."
Can Finley be correct? Show how you decide.
Question 45 marksGrade 5
A square has an area of 81 cm².
(a) Find the perimeter of the square.
The diagram shows a right-angled triangle (base 16 cm, height 9 cm) and a parallelogram (base 30 cm, perpendicular height h cm).
The area of the parallelogram is 5 times the area of the triangle.
(b) Find the value of h.