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The area of a square garden is 200 m². how long is the diagonal?

User Ken Hannel
by
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2 Answers

4 votes

Answer:

20m

Explanation:

User Pepijn
by
8.1k points
3 votes
Area of a square: side²
200=side²
side=√200=14.14

Pythagoras therorem:

hypotenuse²=leg₁² +leg₂²

In this case:
hypotenuse=diagonal
leg₁=leg₂=side

Therefore:
hypotenuse²=(14,14 m)²+(14,14 m)²

hypotenuse²=200 m²+200 m²
hypotenuse²=400 m²
hypotenuse=√(400 m²)=20 m

The diagonal would be 20 m.



User Solace
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7.8k points