A square board has an area of 7056cm2.How long is each side of the board solution
Answers
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Step-by-step explanation:
Area of square= (side)²
So,
side=√area
=√7056
=√4×4 3×3 7×7
=4×3×7
=84cm
we have to make the pair of two to find the square root
Answered by
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Given :
- Area of Square Board = 7056 cm
To find :
- the length of each side of the board solution.
Solution :
⇒ Let's find the length of each side.
- Concept : Here, we have to find the square of the area of the square to find the length of each side.
→ Area of Square = s × s
→ 7056 = s²
→ Side² = √7056
→ Side = 84
→ Side = 84 cm
2 | 7056
2 | 3528
2 | 1764
2 | 882
3 | 441
3 | 147
7 | 49
| 7
Square root = 2 × 2 × 2 × 2 × 3 × 3 × 7
= 2² × 2² × 3² × 7
= 2 × 2 × 3 × 7
= 84
- Therefore, the side of the board is 84 cm.
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