a rectangle and a square are of equal area if the length and the perimeter of the rectangle 25 centimetre and 58 CM respectively then find the area and the perimeter of the square
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Step-by-step explanation:
perimeter of rect. = 2(length x breadth)
58 = 2(25 x b)
58/2 = 25 x b
29/25 = b
or b = 1.16 cm
now area of the rect.
length x breadth
25 x 1.16
29 cm²
It is given that the area of rect is equals to area of square.
so, we can write
area of rect = area of sq.
29 cm² = a²
or a = 5.4 cm
perimeter of sq.
4a
4 x 5.4 cm
21.6 cm
and area of square is 29cm²
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