A garden is in the shape of a square as shown adjacent. The area of the square ABCD is 289 sq. meters with each side (x+4) m. Based on above information, the value of x is - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

Given that the area of the square ABCD is 289 sq. meters with each side (x+4) m.
We know that, Area of a square =

(S i d e) 2

.
Therefore, Area of the square =

(x + 4) 2

.
Already given, area of square is 289.
So,

(x + 4) 2 = 289

⇒

(x + 4) 2 = 172

⇒

(x + 4)

= 17

⇒

x = 17 - 4

⇒

x = 13
As a result, the needed value of x = 13.
The correct option is (3).

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