1 View

Question : Each side of a square is 12 cm long. The perimeter of this square is equal to the perimeter of a rectangle whose length is 16 cm. What will be the area of this rectangle?

Option 1: 128 cm2

Option 2: 112 cm2

Option 3: 184 cm2

Option 4: 156 cm2


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 128 cm 2


Solution : The side of a square = 12 cm
Length of the rectangle = 16 cm
Perimeter of the square = 4 × side = 4 × 12 = 48 cm
The perimeter of a rectangle = 48 cm (since it is equal to the perimeter of the square)
Let's assume the width of the rectangle to be 'w'.
Perimeter of rectangle = 2 × (length + width)
⇒ 48 = 2 × (16 + w)
⇒ 24 = 16 + w
$\therefore$ w = 24 – 16 = 8
Therefore, the width of the rectangle is 8 cm.
The area of the rectangle can be calculated as:
Area of rectangle = length × width = 16 × 8 = 128 cm 2
Hence, the correct answer is 128 cm 2 .

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books