The side of the square was increased by 4 cm and received a square, the area of which is exactly 196 cm2.

| January 11, 2021 | education

The side of the square was increased by 4 cm and received a square, the area of which is exactly 196 cm2. Find the area of the original square.

Find the length of the side of a square after increasing its side, for this you need to extract the square root of the value of its side:
√196 cm = 14 cm – the length of the side of the square after increasing its side;
Let’s find the value of the side of the square before increasing its side, for this it is necessary to decrease the value of its side by 4:
14 cm – 4 cm = 10 cm – the length of the side of the square before increasing its side;
Let’s find the area of ​​the square, which was before the increase in the value of its side, for this we will square its side:
102 cm = 100 cm2 – the area of ​​the original square.
Answer: 100 cm2 is the area of ​​the original square.



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