The side of a square is (x+17) cm, and its area is (3249) square cm. Find the value of (x).
Answer and explanation
Correct answer: 40
The area of a square is (side)^2, so (x+17)^2=3249=57^2. Since a side length is positive, x+17=57; hence x=57-17=40. Option D is incorrect because 57 is the side length, not the value of x. Exam tip: When the area of a square is given, first take its positive square root to find the side.
Frequently asked questions
What is the correct answer to this question?
40
Why is this the correct answer?
The area of a square is (side)^2, so (x+17)^2=3249=57^2. Since a side length is positive, x+17=57; hence x=57-17=40. Option D is incorrect because 57 is the side length, not the value of x. Exam tip: When the area of a square is given, first take its positive square root to find the side.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.
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