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Choose the correct answerA rectangle length is four times its breadth. It has an area of 900 square yards. What is the length of the rectangle ?Choose the best optionClear Response25060 yards6 yards25 yards

Question

Choose the correct answerA rectangle length is four times its breadth. It has an area of 900 square yards. What is the length of the rectangle ?Choose the best optionClear Response25060 yards6 yards25 yards

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Solution

The area of a rectangle is calculated by multiplying its length by its breadth. In this case, we know that the area is 900 square yards and that the length is four times the breadth.

Let's denote the breadth as x. Therefore, the length is 4x.

The equation becomes: 4x * x = 900 or 4x^2 = 900

To solve for x, we divide both sides by 4: x^2 = 900 / 4 x^2 = 225

Taking the square root of both sides gives us the breadth: x = √225 x = 15

Since the length is four times the breadth, the length is: 4 * 15 = 60

So, the length of the rectangle is 60 yards.

This problem has been solved

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