0 votes
70.5k views
in Linear Equations by (67.7k points)
recategorized by

Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36m. Find the dimensions of the garden.

1 Answer

0 votes
by (67.8k points)
selected by
 
Best answer

Length of rectangular garden be ‘x’ m. 

Breadth of rectangular garden be ‘y’ m, then 

Length of the garden is 4m more than its width. 

x = y + 4 ……….. (i) 

x – y = 4 

Half of the circumference is 36 m.

\(\frac{2x + 2y}{2}\) = 36

2x + 2y = 72 

x + y = 36 …………… (ii) 

∴ x – y = 4 (i) 

x + y = 36 (ii) 

From eqn. (i) + eqn. (ii)

∴ x = 20 m. 

Substituting the value of ’x’ in eqn. (i) 

x – y = 4 

20 – y = 4 

-y = 4 – 20 

-y = -16 

y = 16 m. 

∴ Length of the garden = 20 m. 

Breadth of the garden = 16 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.

...