Mathematics
Grade-8
Easy

Question

What is the length of the side of a square, if the area of the square is 441 cm2

  1. 21 cm
  2. 29 cm
  3. 31 cm
  4. 39 cm

Hint:

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:
6 cross times 6 equals 36
In this question we have given the square of area 441 square centimeters and we have to depict the side length of that square.

The correct answer is: 21 cm


    Here we have given a square of area 441 square centimeters and we have to depict the side length 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 meters.
    We will use the concept of square root to find the sides of the square. For this, we need to know the area of 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 lets put it in the formula, we get:
    441 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 441 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 441 comma space w e space g e t colon
square root of 3 cross times 3 cross times 7 cross times 7 end root equals square root of s i d e cross times s i d e end root
3 cross times 7 equals square root of s i d e cross times s i d e end root
s i d e equals 21 space c m
    So the side of the square is 21 space u n i t s.

    In this question, we have given the area of the square and we have to find the side length of the square. So we used the concept of a square function and using that we first found the side of the square which was found to be 21 centimeters.

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