Question
The total of the perimeter of a rectangle and the circumference of a circle is 156
cm. The rectangle's length equals the side of a square, and the square's perimeter is 12 cm greater than the rectangle's perimeter. If the circle's area is 616 cm², determine the area of the rectangle.
Solution
πr²= 616 r= 14 cm 2(l+b)+2πr= 156 L+b = 34 L=a 4a= 68+12 a = 20 cm a = l =20 cm b = 14 cm Area of rectangle= l×b = 20×14=280 cm² Answer: D
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