The square was cut into 4 equal squares, the perimeter of each of which is 36 cm. Find the area of the large square.
July 27, 2021 | education|
Find side a of the resulting square.
P = 4a = 36 (cm);
a = 36: 4 = 9 (cm).
Since the square was cut into 4 equal squares, then each side was cut in half. Therefore, the side of the large square is b = 2а = 2 ∙ 9 = 18 (cm).
Let’s calculate the required area:
S = 18 ∙ 18 = 324 (cm2).
Answer: The area of the large square is 324 cm2.
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