Mathematics
Grade-8
Easy

Question

Find the length of the side of a square whose area is 100 cm².

  1. 5 cm
  2. 10 cm
  3. 100 cm
  4. 4 cm.

hintHint:

The square function, often known as the squaring function, is a real function that is defined by the squaring operation. The result of multiplying an integer (not a fraction) by itself is called a square function.
For example:
5 cross times 5 equals 25
In this question, we have given the square of area 100 square centimeters and we have to depict the length of side of that square.

The correct answer is: 10 cm


    Here we have given a square of area 100 square centimeters and we have to depict the length of the side of that square. The quantity of square units required to completely fill a square is known as the area of a square. Measurements are made in square units, with square centimeters.
    We will use the concept of square root to find the sides of the square. For this, we need to know the area of a square, which is:
    A r e a space o f space s q u a r e equals s i d e cross times s i d e
    Now we have given the area, so let's put it in the formula, we get:
    100 equals s i d e cross times s i d e
T a k i n g space s q u a r e space r o o t s space o n space b o t h space s i d e s comma space w e space g e t space t h e space f o l l o w i n g space e x p r e s s i o n colon
square root of 100 equals square root of s i d e cross times s i d e end root
N o w space f a c t o r i sin g space 100 comma space w e space g e t colon
square root of 2 cross times 5 cross times 2 cross times 5 end root equals square root of s i d e cross times s i d e end root
s i d e equals 10 space c m
    So the side of the square is 10 cm.

    In this question, we have given the area of the square and we have to find the side length of the given square. So we used the concept of a square function and using that we found the side of the square which was found to be 10 centimeters.

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