SME
Grade 4 Math · Problem type
Perimeter and area of a square
Use this for a square: “The perimeter of a square is 48 meters. How long is each side?”
Diagram
This is an example. Type your own values to start a new problem.
4
×
Side (m)
=
Perimeter (m)
Area
calculated
Formulas
4 × 9 = 36
4 × side = perimeter
9 × 9 = 81
Side × side = area
Assumptions
•
A square has 4 sides, all the same length.
•
Perimeter is the distance around: 4 × side.
•
Area is the space inside: side × side, in square units.
•
Whole-number sides up to 100.
Step-by-step
WE KNOW
Perimeter: 36 m
FIND
side, area
Step 1 · Find side
4 × ? = 36
4 × side = perimeter
The perimeter is 4 equal sides: divide it by 4.
Side = 36 ÷ 4
Think: ? × 4 = 36
Side = 9 m
Step 2 · Find area
9 × 9 = ?
Side × side = area
Multiply the side by itself: rows of unit squares.
Area = 81 m²
Check
Put the numbers back in. Both sides should match.
4 × 9 = 36 ✓
9 × 9 = 81 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.