Question : Half of the perimeter of a rectangle is 30 cm. If the length of the rectangle is 6 cm more than its breadth, then what is the area of the rectangle?
Option 1: 216 cm2
Option 2: 250 cm2
Option 3: 185 cm2
Option 4: 195 cm2
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 216 cm 2
Solution :
Half of the perimeter of a rectangle is 30 cm.
Let the length be $x$.
So, breadth = $x-6$
Total perimeter = 30 × 2
⇒ $2(x+x-6)=60$
⇒ $4x=72$
$\therefore x=18$
So, length = 18, breadth = 18 – 6 = 12
$\therefore$ Area of a rectangle = length × breadth = 18 × 12 = 216 cm
2
Hence, the correct answer is 216 cm
2
.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates BrochureYour Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.