A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose length is 2 cm more than its width, find the area of the rectangle.
Given that a semi circle of radius 14cm is formed from a piece of wire
Now, the perimeter of the semi circle is where, r=radius and
Now the perimeter
This is the perimeter of the rectangle
Let the width of the rectangle is x cm
therefore the length is 2cm more than its width
Now the perimeter of rectangle is
Now in our problem
The width of the rectangle is 17cm
The length of the rectangle is
therefore the length of the rectangle is 19cm
Now, the area of the rectangle is given by
Area of the rectangle is
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