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emmasim [6.3K]
2 years ago
12

The length of a rectangle is 2 units more than the width. The area of the rectangle is 24 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
xxMikexx [17]2 years ago
7 0

Answer:

2\sqrt{5}

Step-by-step explanation:

So, we know the area is 24, and the length is 2 more than the width. Let's refer to the width as x, and the length as x+2. In a rectangle, area is length times width. So, let's multiply the length and width to get xx^{2} + 4. This is because any number times itself is that number squared. Now that we have that, solve for x. Subtract 4 from both sides of the equation and get xx^{2} +4. Now we have x^{2} =20. What we do next is do the square root of both sides, in order to get x by itself. this gives us the answer of \sqrt{24}. That is the width of the rectangle. If you want to go further, we can simplify the expression. 20 is 4*5, and 4 is a square number. We can rewrite the expression now as x=\sqrt{4} *\sqrt{5}. We know the square root of 4 is 2, but the square root of 5 is too difficult to work with and get an exact answer, so we can leave that as-is. our final answer for the width of the rectangle is 2\sqrt{5}. I hope this helps!

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