Find the perimeter of a square if its area is equal to the area of a rectangle with sides of 12 cm and 3 cm.
| March 10, 2021 | education
Sкв = Sпр;
a = 12 cm;
b = 3 cm;
Pkv -?
Decision:
Spr = a * b = 12 * 3 = 36 (cm ^ 2).
Sq = 36 cm ^ 2.
Pkv = 4c, where c is the side of the square.
Skv = s ^ 2;
36 = c ^ 2;
c = 6 and c = -6, since the length of the square cannot be with a minus sign, then c = 6 cm.
Pkv = 4 * 6 = 24 (cm).
Answer: Pkv = 24 cm.
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