. The perimeter of a rectangle and square are equal. if length of the rectangle is 8 cm and breadth is 6m. Find the area of a square
Answers
Answer:
нєу!
All the answers mentioned before explained the simple way of solving this problem. And, there is no harm in opting for the safe method. However, there is another formula that can be used. It has been explained in detail below:
Perimeter of Square=Perimeter of Rectangle
=> 4x Side= 2L + 2B
Thus, Side= 2L + 2B /4
Or, Side= L + B /2
Now, Area of Square= Side x Side
Or, Area= (L + B /2) x (L + B /2)
We have done some simple transposition at the beginning, and formulated this equation. As we know, this only works if the perimeters of the Square and Rectangle are the same. Now, let us implement the same formula for the asked question, and add the given values:
L= 10 cm
B= 6 cm
Thus, Area of Square= (L + B /2) x (L + B /2)
=> (10 + 6 /2) x (10 + 6 /2)
=> 16/2 x 16/2
=> 8 x 8= 64 cm sqr.
As we can see, the Area is correct. We can verify this again, if needed. This formula can be used if you want to. But, I do not know whether it is allowed. I recommend writing the entire formula, and explaining it while solving. This will help the person who is checking the answer understand.
This formula is not commonly used, and I have checked it thoroughly for any loopholes. I still recommend using the basic formula, and keeping this for extra help. If there is any doubt, feel free to comment.
Answer:
49cm
Step-by-step explanation:
perimeter os rectangle=2(l+b)
=28cm
therefore perimeter of square=perimeter of rectangle
4*s=28
s=28/4
s=7cm
therefore area=7*7=49cm