Question 5. Half the perimeter of a rectangular garden, whose length is 4 m more than its Chapter 3: Pair of Linear Equations in Two Variable Maths Class 10 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 5. 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. is solved by our expert teachers. You can get ncert solutions and notes for class 10 chapter 3 absolutely free. NCERT Solutions for class 10 Maths Chapter 3: Pair of Linear Equations in Two Variable is very essencial for getting good marks in CBSE Board examinations
Solution: Let length of rectangle = x m
With of the rectangle = y m
Given that whose length is 4 m more than its width
so that
x = 4 + y
plug y = -18 , 0, and 18 we get
x = 4 - 18 = -14
x = 4 +0 = 0
x = 4 + 18 = 22
X | -14 | 0 | 22 |
y | -18 | 0 | 18 |
Given that Half of the perimeter of the rectangle is 36 m so
Formula of perimeter of the rectangle = 2(x+y)
Half of perimeter of rectangle = (1/2)*2(x + y) = x + y
So our equation will
x + y = 36
Subtract y both side we get
X = 36 – y
Plug y = 36 ,18 and 0 we get
X = 36 – 36 = 0
X = 36 – 18 = 18
X = 36 – 36 = 0
X | 0 | 18 | 36 |
y | 36 | 18 | 0 |
Hence length of garden = 20 m Width of garden = 16 m
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