SOLUTION: The length of a rectangle is six times its width.
If the perimeter of the rectangle is 98 cm, find its area.
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Question 774218: The length of a rectangle is six times its width.
If the perimeter of the rectangle is 98 cm, find its area.
Answer by pakhi(24) (Show Source): You can put this solution on YOUR website!
Let the width of the rectangle be 'w'cm.
Therefore the length of the rectangle is '6w'cm.
The perimeter of the rectangle is given by the formula 2(length + width) ----(1)
The area of the rectangle is given by the formula (length * width) ----------(2)
The perimeter of the rectangle is given as 98cm.
Putting the values of length, width and perimeter in equation 1 we get
2(6w + w) = 98
or 2(7w) = 98
or 14w = 98
or w = 98/14 = 7
So the width of the rectangle is 7cm.
So the length of the rectangle is 6w = 6*7 = 42cm.
Therefore the area of the rectangle is (length * width) = 42 * 7 = 294sq.cm.
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