What is the difference between perimeter and area?

Perimeter is the distance round the edge, in cm or m; area is the surface covered, in cm² or m².

Do fences use perimeter or area?

A fence runs round the edge, so use the perimeter; flooring, paint and turf use area.

How many cm² are there in 1 m²?

1 m = 100 cm, so 1 m² = 100 times 100 = 10 000 cm².

P4 Maths Perimeter and Area Applications Paper 2: Intermediate

2026-11-09

Tutor Prep Guide · P4 Maths

Ten original items, each with an answer and a one-line explanation.

Direct answers　Items 1-3 are basic, 4-6 intermediate and 7-9 challenge, with item 10 as the error review. Time yourself first, then check each answer and redo what is wrong.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P4 Maths Perimeter and Area Applications
Level	P4

02　Questions (10 items)

FoundationA square has side 12 cm. Find its area.
FoundationA rectangle has perimeter 50 cm and length 15 cm. Find its width and area.
FoundationAn L-shape is a 10 m by 8 m rectangle with a 4 m by 3 m corner removed. Find its area.
IntermediateA room is 5 m by 4 m. Carpet costs $120 per m². Find the total cost.
IntermediateA plot is 18 m by 12 m. Fencing costs $45 per metre. Find the cost of fencing right round it.
IntermediateConvert 25 000 cm² into m².
ChallengeA square has area 49 cm². Find its perimeter.
ChallengeTwo squares of side 6 cm are joined to form a rectangle. Find its perimeter and area.
ChallengeA 24 cm wire is bent into a square. Find the area of the square.
Error redoError review: a pupil says any rectangle of area 36 cm² must be 6 cm by 6 cm. Is that right? Give a counter-example.

03　Answers and one-line notes

#	Answer	One-line note
1	144 cm²	Area = 12 times 12 = 144 cm², while 12 times 4 = 48 cm is the perimeter.
2	Width 10 cm, area 150 cm²	Length plus width = 25 cm, so width = 10 cm and area = 150 cm².
3	68 m²	The large rectangle is 80 m² and the corner is 12 m², leaving 68 m².
4	$2400	The area is 20 m², so the cost is 20 times 120 = $2400.
5	$2700	The perimeter is 60 m, so the cost is 60 times 45 = $2700.
6	2.5 m²	10 000 cm² make 1 m², so 25 000 divided by 10 000 = 2.5 m².
7	28 cm	The side is 7 cm because 7 times 7 = 49, so the perimeter is 28 cm.
8	Perimeter 36 cm, area 72 cm²	The rectangle is 12 cm by 6 cm, so its perimeter is 36 cm and its area is 72 cm².
9	36 cm²	The wire is the perimeter, so the side is 6 cm and the area is 36 cm².
10	No, for example 9 cm by 4 cm also has area 36 cm²	The factor pairs of 36 include 1×36, 2×18, 3×12, 4×9 and 6×6; only 6 by 6 is a square.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

Book a Maths tutor Tutor Registration →

Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.