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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. Q.5

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This is very important question of class 10 of exercise 3.2 . How can i solve this question. I want to get the best way of answer for solving this question 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.

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1. Let us consider.

The width of the garden is x and length is y.

Now, according to the question, we can express the given condition as;

y â€“ x = 4

and

y + x = 36

Now, taking y â€“ x = 4 or y = x + 4

For y + x = 36, y = 36 â€“ x

The graphical representation of both the equation is as follows;

From the graph you can see, the lines intersects each other at a point(16, 20). Hence, the width of the garden is 16 and length is 20.

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2. This is the video solution for question 5, Exercise 3.2Â  Pair of linear equations in two variables| NCERT Maths Solutions| Class10

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