An artist has completed one-fourth of a rectangular oil painting. When he will paint another 100 square… · ABC26GN4324
Subject: General Aptitude · Chapter: Area · Exam: J.M.E.T. 2008
An artist has completed one-fourth of a rectangular oil painting. When he will paint another 100 square centimetres of the painting, he would complete three-quarters of the painting. If the height of the oil painting is 10 cm, determine the length (in cm) of the oil painting.
(a)10
(b)15
(c)20
(d)25
Answer
No answer key was printed for this question.
Explanation
Let the area of the whole painting be $x \mathrm{cm}^{2}$. Then, $\frac{1}{4} x+100=\frac{3}{4} x \Rightarrow \frac{1}{2} x=100 \Rightarrow x=200$. ∴ Area of painting $=200 \mathrm{cm}^{2}$. Height $=10 \mathrm{cm}$. Length of painting $=\left(\frac{200}{10}\right) \mathrm{cm}=20 \mathrm{cm}$.