from a handpicked tutor in LIVE 1-to-1 classes
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 |
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.
☛ Related Questions:
- Form the pair of linear equations in the following problems and find their solutions graphically. (i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. (ii) 5 pencils and 7 pens together cost ₹ 50, whereas 7 pencils and 5 pens together cost ₹ 46. Find the cost of one pencil and that of one pen.
- On comparing the ratios a1/a2 = b1/b2 = c1/c2, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident: i) 5x – 4y + 8 = 0 7x + 6y – 9 = 0 (ii) 9x + 3y + 12 = 0 18x + 6y + 24 = 0 (iii) 6x – 3y + 10 = 0 2x – y + 9 = 0
- On comparing the ratios find out whether the following pair of linear a1/a2,b1/b2 and c1/c2, find out whether the following pair of linear equations are consistent, or inconsistent (i) 3x + 2 y = 5; 2x - 3y = 7 (ii) 2x - 3y = 8; 4x - 6 y = 9 (iii) 3/2x + 5/3y = 7; 9x -10y = 14 (iv) 5x - 3y = 11; -10x + 6 y = -22 (v) 4/3x + 2 y = 8; 2x + 3y = 12
- Which of the following pairs of linear equations are consistent / inconsistent? If consistent, obtain the Solution graphically: (i) x + y = 5, 2x + 2 y = 10 (ii) x - y = 8, 3x - 3y =16 (iii) 2x + y - 6 = 0, 4x - 2 y - 4 = 0 (iv) 2x - 2 y - 2 = 0, 4x - 4 y - 5 = 0
visual curriculum