Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
474 views
in Linear Equations by (50.2k points)
closed by

The length of a room exceeds its breadth by 3 metres. If the length is increased by 3 metres and the breadth is decreased by 2 metres, the area remains the same. Find the length and the breadth of the room.

1 Answer

+1 vote
by (55.4k points)
selected by
 
Best answer

Let the breadth of a room = x m

According to the question,

Length of the room = x + 3

Then, Area of room = (x + 3)× (x) m2

= x2 + 3x

Condition II:

Area remains same,

when length = (x + 3 + 3) m = (x + 6) m

and breadth = (x – 2) m

According to the question,

x2 + 3x = (x + 6)(x – 2)

⇒ x2 + 3x = x2 – 2x + 6x – 12

⇒ 3x = 4x – 12

⇒ 3x – 4x = – 12

⇒ x = 12

So, length of the room = (x + 3) = 12 + 3 = 15m

Hence, the length of the room is 15m and the breadth of a room is 12m

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...