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# The ratio of the width to the length of a rectangle is 4:5. lf the area of the rectangle is 500 square centimeters, what is the length of the rectangle?

Rectangles are types of quadrilaterals having two pairs of parallel sides and having four 90 degree angles. The area of a rectangle is given by the product of length and breadth.

## Answer: For the given rectangle with ratio of the width to the length as 4:5 and area 500 square centimeters, the length is 25 cm.

Let's understand the solution in detail.

**Explanation:**

Given:

⇒ The ratio of width to length of the rectangle = 4:5

⇒ Area of the rectangle = 500 cm^{2}.

Now, let the width be 4x and the length is 5x.

Now, the area of the rectangle is length × width.

Hence, (4x) × (5x) = 500

⇒ 20x^{2} = 500

⇒ x^{2 }= 500/20 = 25

⇒ x = 5

Therefore, the length = 5x = 25, and width = 4x = 20.

### Hence, for the given rectangle, the length is 25 cm.

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