The area of a square plot is 484 m². Find the length of its one side and the length of its one diagonal.
Mensuration
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The area of a square plot is 484 m². Find the length of its one side and the length of its one diagonal.

KnowledgeBoat · Accepted Answer

Let ABCD be the square plot having area 484 m². Let length of each side of the plot be x meters. We know that, Area of square = side × side Substituting the values we get, ⇒ 484 = (x)² ⇒ x = = 22 m. Since, each angle = 90° in a square. In right angle triangle ABC, Using Pythagoras Theorem, ⇒ AC² = AB² + BC² ⇒ AC² = 22² + 22² ⇒ AC² = 484 + 484 = 968 ⇒ AC = ⇒ AC = 22 × 1.414 = 31.11 m. Hence, length of side = 22 m and length of diagonal = 31.11 m.

Mathematics

The area of a square plot is 484 m². Find the length of its one side and the length of its one diagonal.

Mensuration

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Mathematics

The area of a square plot is 484 m2. Find the length of its one side and the length of its one diagonal.

Mensuration

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The area of a square plot is 484 m². Find the length of its one side and the length of its one diagonal.