Question:
the length of a rectangle is 3 m more than its width. if both length and width are decerased by 2m, the area is decreased by 18s .m.find the dimension of the rectangle
Answer:
Let the width of a rectangle = a
Now, the length of a rectangle = a + 3
Area of the rectangle = a(a + 3) = a2 + 3a
Again,
New length of a rectangle = a + 3 - 3 = a
and New width of a rectangle = a - 3
Now, New area of the rectangle = a(a - 3) = a2 - 3a
According to question,
New area of the rectangle = Area of the rectangle - 18
=> a2 - 3a = a2 + 3a - 18
=> -3a - 3a = -18
=> -6a = -18
=> 6a = 18
=> a = 18/6
=> a = 3
So, the width of a rectangle = a = 3 m
and the length of a rectangle = a + 3 = 3 + 3 = 6 m
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