The length of a rectangle is 3 cm less than its width what are the dimensions of the rectangle if its area is 270 cm²

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.

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