Question : The area of a rectangle is thrice that of a square. The length of the rectangle is $20\;\mathrm{cm}$ and the breadth of the rectangle is $\frac{3}{2}$ times that of the side of the square. The side of the square, (in cm) is:
Option 1: 10
Option 2: 20
Option 3: 30
Option 4: 60
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 10
Solution : Let the side of the square be $ s\text{ cm}$. The area of the square $= s^2\;\mathrm{cm^2}$ Given that the area of the rectangle is thrice that of the square. The area of the rectangle $=3s^2\;\mathrm{cm^2}$ ____(i) Given that the length of the rectangle is $20\;\mathrm{cm}$ and its breadth is $\frac{3}{2}s\text{ cm}$. The area of the rectangle $=20 \times \frac{3}{2}s = 30s\;\mathrm{cm^2}$____(ii) From equation (i) and (ii), $⇒3s^2 = 30s$ $⇒s = \frac{30}{3} = 10\;\mathrm{cm}$ Hence, the correct answer is 10.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square (in cm2) is:
Question : If the length of a certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. What is the perimeter of the original rectangle?
Question : What is the perimeter of a square inscribed in a circle of radius 5 cm?
Question : If $\triangle A B C \sim \triangle F D E$ such that $A B=9 \mathrm{~cm}, A C=11 \mathrm{~cm}, D F=16 \mathrm{~cm}$ and $D E=12 \mathrm{~cm}$, then the length of $BC$ is:
Question : If $\triangle ABC \sim \triangle QRP, \frac{\operatorname{area}(\triangle A B C)}{\operatorname{area}(\triangle Q R P)}=\frac{9}{4}, A B=18 \mathrm{~cm}, \mathrm{BC}=15 \mathrm{~cm}$, then the length of $\mathrm{PR}$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile