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MathematicsGrade 7en

📐 Perimeter and Area

Master the essential formulas and techniques for calculating perimeter and area of common 2D shapes. This quiz covers rectangles, triangles, parallelograms, and composite figures, with emphasis on understanding why formulas work and applying them to real-world contexts. **What you'll learn:** - Calculate perimeter and area of rectangles, triangles, and parallelograms using standard formulas - Understand and apply the triangle area formula $\frac{1}{2}bh$ and its relationship to rectangles - Work with composite figures by breaking them into simpler shapes - Identify and use appropriate units (square units for area, linear units for perimeter)

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Questions in this quiz

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  1. Question 1

    A rectangular garden has a length of 12 m and a width of 8 m. What is the perimeter of the garden?

  2. Question 2

    The area of a rectangle is 84 cm². If the length is 14 cm, what is the width?

  3. Question 3

    The formula for the area of a triangle is A=12×base×heightA = \frac{1}{2} × \text{base} × \text{height}.

  4. Question 4

    A triangle has a base of 10 cm and a height of 6 cm. What is its area?

  5. Question 5

    A parallelogram has a base of 15 cm and a height of 8 cm. What is its area?

  6. Question 6

    The perimeter of a shape is always measured in square units.

  7. Question 7

    Which formula correctly represents the perimeter of a rectangle with length ll and width ww?

  8. Question 8

    A composite figure is made up of a rectangle with dimensions 10 m by 6 m, and a triangle on top with base 10 m and height 4 m. What is the total area?

  9. Question 9

    A square has a side length of 9 cm. What is its area?

  10. Question 10

    The height of a triangle must be one of its side lengths.

  11. Question 11

    A parallelogram has sides of 12 cm and 8 cm, with a perpendicular height of 6 cm measured from the longer sides. What is its area?

  12. Question 12

    A right triangle has legs of 5 cm and 12 cm. If these are the base and height, what is the area?

  13. Question 13

    A rectangle with length 7 cm and width 3 cm has the same perimeter as a square with side length 5 cm.

  14. Question 14

    A triangular flag has an area of 48 cm². If its base is 12 cm, what is its height?

  15. Question 15

    A rectangular swimming pool is 25 m long and 10 m wide. What is the perimeter of the pool?

  16. Question 16

    A composite figure consists of a parallelogram with base 9 cm and height 5 cm, and a rectangle with length 9 cm and width 3 cm attached below it. What is the total area?

  17. Question 17

    Two rectangles can have different perimeters but the same area.