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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 given data.

Perimeter of rectangle = 2(length + breadth)

Let the length of the garden be x and breadth be y

Then x = y + 4 [ Since its given that length is 4 m more than its width]

x - y = 4

y = x - 4

x

8

16

y = x - 4

4

12

The half perimeter of the rectangle is x + y = 36 [Since, perimeter = 2(x + y)]

y = 36 - x

x

16

26

y = 36 - x

20

10

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

Thus, Length, x = 20 m and Breadth, y = 16 m

☛ Check: NCERT Solutions Class 10 Maths Chapter 3

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

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.

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