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The ratio of the lengths of the sides of a rectangle is 3:4. If the perimeter is 56 cm, what is the area of the rectangle?
Let sides be \( 3x \) and \( 4x \)
Perimeter: \( 2(3x + 4x) = 56 \)
\( 14x = 56 \)
\( x = 4 \)
Sides: 12 cm and 16 cm
Area: \( 12 \times 16 = 192 \) square cm
A circle is inscribed in a square. If the side of the square is 10 cm, what is the area of the circle?
Diameter of circle = side of square = 10 cm
Radius = 10/2 = 5 cm