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Perimeter & Area — Chapter Test

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Q1
Perimeter is to the distance around as area is to ___ ?
Area is the space inside a shape.
Q2
What is the perimeter of a square of side 10 cm?
4 × 10 = 40 cm.
Q3
Which job needs the perimeter, not the area?
Fencing goes around the edge, which is the perimeter.
Q4
Continue the pattern of perimeters: side 1 → 4, side 2 → 8, side 3 → 12, side 4 → ___ ?
Perimeter of a square = 4 × side, so side 4 → 16.
Q5
What is the perimeter of a square of side 9 cm?
4 × 9 = 36 cm.
Q6
What is the perimeter of a rectangle 12 cm by 5 cm?
2 × (12 + 5) = 34 cm.
Q7
What is the area of a square of side 8 cm?
8 × 8 = 64 sq cm.
Q8
What is the area of a rectangle 9 cm by 4 cm?
9 × 4 = 36 sq cm.
Q9
A rectangle has area 20 sq cm and length 5 cm. What is its breadth?
Breadth = area ÷ length = 20 ÷ 5 = 4 cm.
Q10
A garden is 15 m by 10 m. How much fencing goes around it?
Perimeter = 2 × (15 + 10) = 50 m.
Q11
A room is 5 m by 4 m. How much carpet (area) is needed?
Area = 5 × 4 = 20 sq m.
Q12
A square plot has side 12 m. How much fencing is needed?
Perimeter = 4 × 12 = 48 m.
Q13
A rectangle has perimeter 30 cm and length 10 cm. What is its breadth?
2 × (10 + breadth) = 30, so 10 + breadth = 15, breadth = 5 cm.
Q14
How many 1 cm squares fit inside a square of side 5 cm?
Area = 5 × 5 = 25, so 25 unit squares fit.
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