Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
If the side of a square is increased by 8 cm, its area increases by 120 sq. cm. Find the side of the square.
Answer
Answer (as printed):
Explanation
Let the length of a side of the square be $x \mathrm{cm}$. Then, $$(x+8)^{2}-x^{2}=120 \Rightarrow 64+16 x=120 \Rightarrow 16 x=56 \Rightarrow x=\frac{56}{16}=\frac{7}{2}=3.5 \mathrm{cm} .$$ Hence, side of square $=3.5 \mathrm{cm}$.