13. The perimeters of a rectangle and square are same. If the length and breadth of the rectangle is 12 cm. and 6 cm., what is the length of side of the square? (a) 36 cm. (b) 18 cm. (c) 9 cm. (d) 6 cm.
Answers
Answer :
The length of one square is 9cm.
Step-by-step explanation :
Given :
- Rectangle - Breadth - 12cm
- Length - 6cm
To find :
- Length of sides of square?
Solution :
According to question, the perimeter of rectangle and square are the same. The sides of rectangle are as breadth - 12cm and length - 6cm. What is the length of sides of the square?
Formula to find perimeter :
- Rectangle - 2 × length + 2 × breadth
- Square - 4 × side.
Lets first find perimeter of rectangle.
= 2 × 6 + 2 × 12
= 12 + 24
= 36
Hence, perimeter of rectangle and square is 36 cm.
Now we will find length of one side of square.
Dividing 36 from 4 we get 9.
= 36/4 = 9
Therefore, the length of one side of square is 9cm.
Given :- The perimeters of a rectangle and square are same. The length and breadth of the rectangle is 12 cm. and 6 cm.
To Find :- The length of side of the square ?
(a) 36 cm. (b) 18 cm. (c) 9 cm. (d) 6 cm.
Solution :-
We know that,
- Perimeter of rectangle = 2(Length + Breadth)
- Perimeter of square = 4 × side .
So, let us assume that, length of side of the square is equal to x cm .
given,
→ Perimeter of square = Perimeter of rectangle
→ 4 × side of square = 2(Length + Breadth)
putting given values of the length and breadth as 12cm and 6 cm,
→ 4 × x = 2(12 + 6)
dividing both sides by 2,
→ 2x = 12 + 6
→ 2x = 18
again dividing both sides by 2,
→ x = 9 cm (Ans.)
Hence, the length of side of the square is equal to (c) 9 cm .
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