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Given:
The length of a rectangle is 3 cm less than its width.
The area of the rectangle is 270 cm².
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then,
Area of a rectangle is:
Splitting the middle term, we get
Width of the rectangle cannot be negative. So, the only value of x is 18.
Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.