Area and Perimeter: Every Shape (Complete Guide) — Worksheet & Memo

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Grade 8 · Area and Perimeter of 2D Shapes

Area and Perimeter: Every Shape (Complete Guide)

MEMORANDUM

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Class:

Date:

Mark

/ 23

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

1
A square has an area of 196 cm². Determine the length of one side, and hence its perimeter.
(3)
side = √196 = 14 cm (2)
Perimeter = 4 × 14 = 56 cm (1)✓✓✓ (3)
2
Perimeter of a rectangle 8 cm by 5 cm (rectangle)
(1)
2(8 + 5) = 26 cm✓ (1)
3
Area of a rectangle 8 cm by 5 cm (rectangle)
(1)
8 × 5 = 40 cm²✓ (1)
4
Perimeter and area of a square with side 6 cm (square)
(2)
P = 4 × 6 = 24 cm; A = 6² = 36 cm²✓✓ (2)
5
Area of a triangle, base 10 cm, height 6 cm (triangle)
(2)
1/2 × 10 × 6 = 30 cm²✓✓ (2)
6
Area of a triangle, base 14 cm, height 5 cm (triangle)
(2)
1/2 × 14 × 5 = 35 cm²✓✓ (2)
7
Circumference of a circle, radius 5 cm (π ≈ 3,14) (circle)
(2)
2 × 3,14 × 5 = 31,4 cm✓✓ (2)
8
Area of a circle, radius 10 cm (π ≈ 3,14) (circle)
(2)
3,14 × 100 = 314 cm²✓✓ (2)
9
Area of a circle with DIAMETER 12 cm (π ≈ 3,14) (circle)
(3)
r = 6; 3,14 × 36 = 113,04 cm²✓✓✓ (3)
10
A 10 × 8 rectangle with a 3 × 2 rectangle cut out — area? (composite)
(3)
80 − 6 = 74 cm²✓✓✓ (3)
11
A rectangle has area 60 cm² and breadth 5 cm. Find its length. (reverse)
(2)
60 ÷ 5 = 12 cm✓✓ (2)

TOTAL: 23 marks