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
12.5k views
in Aptitude by (138k points)

A rectangular plot 15 m ×10 m has a path of grass outside it. If the area of grassy pathway is 54 m2 , find the width of the path. 

(a) 4 m (b) 3 m (c) 2 m (d) 1 m (e) None of these

1 Answer

0 votes
by (144k points)
selected by
 
Best answer

Let the width of the path = W m
then, length of plot with path = (15 + 2W) m
and breadth of plot with path = (10 + 2 W) m
Therefore, Area of rectangular plot (without path)
= 15 × 10 = 150 m2
and Area of rectangular plot (with path)
= 150 + 54 = 204 m2
Hence, (15 + 2W) × (10 + 2W) = 204
⇒ 4W2 + 50 W – 54 = 0
⇒ 2W2 + 25 W – 27 = 0
⇒ (W – 2) (W + 27) = 0
Thus W = 2 or –27
with of the path = 2 m

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.

Categories

...