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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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.
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