Question

MATHEMATICS 1. Use grid paper and square tiles (square tiles can be done by using cardboard). 2. Use the tiles to make rectangles to get each area mentioned below 4,6,8,9,12,26,20 (sq.units). 3. What are the possible areas for square from the above-mentioned areas? (For eg: if the side length is 2 units, area of a square is 4 sq units) What is the side length of a square for possible areas? ​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

The possible ways to make a rectangle for the given areas is as follows:

(i) Area = 4 sq unit; Length = 4 units and breadth = 1 unit

(ii) Area = 6 units; Length = 3 or 6 units and breadth = 2 or 1 units

(iii) Area = 8 units; Length = 8 or 4 units and breadth = 2 or 1 untis

(iv) Area = 9 units; Length = 9 units and breadth = 1 unit

(v) Area = 12 units; Length = 4 or 6 units and breadth = 3 or 2 units

(vi) Area = 26 units; Length = 13 units and breadth = 2 unit

(vii) Area = 20 units; Length = 10 or 5 units and breadth = 2 or 4 units

The possible areas for squares can only be perfect squares of a number.

∴ Out of the given areas, only 4 and 9 are perfect squares.

∴ Length of side:

For Area = 4 sq units = 2 units

For Area = 9 sq units = 3 units