Let us express the following statements into simultaneous linear equations and solve them graphically.
Sum of two numbers is 15 and difference is 3. Let us write the numbers by solving graphically.

Question

Let us express the following statements into simultaneous linear equations and solve them graphically.
The perimeter of Rohit’s rectangular garden is 60m. If the length of the garden is increased by 2m and breadth is decreased by 2m, the area of the garden decreased by 24 sq.m. Let us write the length and breadth of the garden by solving graphically.

Philoid · Accepted Answer

Let sides of the rectangular garden are x meters and y meters.

Given perimeter = 60

2x + 2y = 60

x + y = 30 …..(1)

Putting different values of x, we get different values of ‘y’, hence we get points for plotting as:

Given Length is increased by 2m and breadth is decreased by 2m then area of the garden is decreased by 24m².

(x + 2)(y - 2) = xy - 24

xy - 2x + 2y - 4 = xy - 24

2y - 2x = - 20

x - y = 10 ……….(2)

Putting different values of x, we get different values of ‘y’, hence we get points for plotting as:

Sides of the rectangular garden are 20m and 10m.