Question

Draw a rectangle of area 8 sq.cm . draw a square of the same area

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

• A rectangle can be drawn with any of the following length and breadth combinations:-

1. Length= 1cm, breadth= 8 cm
2. Length= 2cm, breadth= 4 cm
3. Length= 4√2cm, breadth= √2cm... and so on.

• A square of area 8cm² has to be drawn with a side of 2√2 cm

Given: Area of square = Area of rectangle = 8cm²

To find: Sides of the shapes so that they can be drawn

Solution:

Let the length of the rectangle = l

Let the breadth of the rectangle = b

We know, area = 8cm²

⇒ lb = 8

(length, breadth) = (1, 8), (2, 4), (4, 2), (8, 1)... and so on

∴ A rectangle can be drawn using any of these parameters.

Now,

Let the length of each side of a square = x

We know, area = 8cm²

x² = 8 ⇒ x = 2√2

Side of square = 2√2 cm

∴ A square of area 8cm² can be drawn keeping the side as 2√2cm.

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