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ANSWER RN PLSSS (15POINTS)

The area of a square is 36w^2 + 60w + 25. what the side length of the square?
A. 2w + 1
B. 3w + 5
C. 6w - 5
D. 6w + 5
SHOW WORK PLEASE

User Frodeborli
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2 Answers

2 votes
To find the side length of a square when given the area, we need to take the square root of the area.

Given that the area of the square is 36w^2 + 60w + 25, we can factor the expression:

36w^2 + 60w + 25 = (6w + 5)^2

Now, taking the square root of both sides, we get:

√(36w^2 + 60w + 25) = √[(6w + 5)^2]

The square root of a perfect square on the right side simplifies to the expression within the parentheses:

√(36w^2 + 60w + 25) = 6w + 5

So, the side length of the square is 6w + 5.

Therefore, the correct answer is D. 6w + 5.
User Tallowen
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8.7k points
3 votes

Answer:

D. 6w + 5

Explanation:

a² + 2ab + b² = (a + b)²

36w² + 60w + 25 = (6w + 5)²

Answer: D. 6w + 5

User Manjunath Ballur
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7.6k points