Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
Answer:
So, the relation between variables are
Step-by-step explanation:
We are given
Since, we have to find relation between variables
so, we can solve for y
Firstly, we will multiply both sides by y
we can simplify it
we can isolate y
so, we can divide both sides by 7
so, we get