Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden
Solution:
Assuming the length of the garden as x and the width of the garden as y, two linear equations can be formed for the known data. Perimeter of rectangle = 2(length + breadth)
Let the length of the garden be x and breadth be y
Then x = y + 4
x - y = 4
y = x - 4
x |
8 |
16 |
y = x - 4 |
4 |
12 |
The half perimeter of the rectangle be x + y = 36
y = 36 - x
x |
16 |
26 |
y = x - 4 |
20 |
10 |
Thus, Length, x = 20 m and Breadth, y = 16 m
Video Solution:
Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden
NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2 Question 5 - Chapter 3 Exercise 3.2 Question 5:
Summary:
Since, half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m,the length is 20 m and breadth is equal to 16 m.