CLASS 7 · Math · CHAPTER PRACTICE

Class 7 Maths: Perimeter and Area Olympiad Questions

Build your understanding of Perimeter and Area, try the sample questions, and review your answers at your own pace.

UNDERSTAND THE CONCEPTS

The term perimeter refers to the coverage of the length of a figure from the outside. At the same time, the area is known as the object's surface. For different sets of figures, there are different formulas.

Different figures

Here, all different figures consist of different perimeters and areas. These are:

  • Square

    The perimeter of the square is 4a, and its area is a^2.

    Note: In the formula, a is the side of a square.

  • Rectangle

    The rectangle's perimeter is 2 (l + b), and its area equals l x b.

    Note: In the formula, l & b are the length and breadth of the square.

  • Circle

    The circle's perimeter is 2πr, and its area is equal to πr^2.

    Note: r is the radius of a circle, i.e., r = 2d (d = diameter)

  • Triangle

    The triangle's area is equal to ½ x b x h.

  • Parallelogram

    The parallelogram's area is b x h.

Units Conversion

To get the area and perimeter of a closed figure, we have to consider all figures in one unit. Only then do we have to apply the formula to get the results.

  • 1 cm = 10 mm
  • 1 m = 100 cm
  • 1 km = 1000 m
  • 1 hectare = 100 x 100 m
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Free Perimeter and Area Olympiad Questions for Class 7

5 questions to build confidence. Choose an answer, then explore the explanation.

01

What is this measurement called?

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The answer key for this sample question is not available yet.

02

What is the area of a triangle with height 8 inches and base 2 inches?

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The answer key for this sample question is not available yet.

03

The perimeter of a regular hexagon is 48. If the side length of a similar hexagon is 3 times that of the original hexagon, which statement is true about the similar hexagon?

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Answer: A. The perimeter of the similar hexagon is 3 times the perimeter of the original hexagon.

In similar figures, all linear measures scale by the same factor. Tripling the side length triples the perimeter.

04

The area of the circle is 64pi. Which expression should be used to find the area of the shaded regions?

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Answer: D. 64pi-256

The shaded area expression should subtract the inner square area from the circle area, giving 64π-256.

05

A triangle has an area of 49.5 \ "cm"^2. If the base of the triangle is 9 cm, what is the height of the triangle?Use A=(1/2)bh.

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Answer: B. 11 cm

Use A = 1/2 bh: 49.5 = 1/2 × 9 × h, so h = 11.

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