Notifications
Clear all
Pair of Linear Equations in Two Variables
1
Posts
2
Users
0
Likes
244
Views
0
26/05/2021 12:40 pm
Topic starter
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.
1 Answer
0
26/05/2021 12:44 pm
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 – x = 4 and
y + x = 36
Now, taking y – x = 4 or y = x + 4
x \(\rightarrow\) 0, 8, 12
y \(\rightarrow\) 4, 12, 16
For y + x = 36, y = 36 – x
x \(\rightarrow\) 0, 36, 36
y \(\rightarrow\) 36, 0, 20
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.
This post was modified 4 years ago by Raavi Tiwari