14. The length of a rectangle is 5 cm more than twice its width. If the length is increased by 3 cm and the width is increased by 2 cm, the perimeter of the new rectangle will be 62 cm. Find the area of the original rectangle.( with step by step explanation)
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The length of the rectangle is 5 cm more than twice its width .
Let width = x meter
Length = ( 2x + 5 ) cm
If the length is increased by 3 cm and the width is increased by 2 cm .
New Length = 2x + 8 cm
Width = x + 2 cm
The perimeter of the new rectangle will be 62 cm.
So ,
2 ( Length + Width ) = 62
( We found the value of x
x = 7 )
__________________________
So original width = 7
Length = 19
Area of original rectangle = 133 cm
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