Answer:
P = 2(l+w) ----------(1)
P = 4l----------- (2)
P= 32x- 12
4l = 32x- 12
l = 8x- 3
One side will be equal to 21 units and the perimeter will be 84 units when x=3.
Step-by-step explanation:
The perimeter is given by the formula
P = 2(l+w) ----------(1)
where p= perimeter , l= length and w= width.
But a square has the length equal to the width so w= l and the formula becomes
P = 2( l+l)
P = 2 (2l)
P = 4l----------- (2)
The perimeter of the square is
P= 32x- 12
or
4l = 32x- 12
dividing the whole equation by 4 we get
l = 8x- 3
So the length of one side can be obtained by dividing the perimeter by 4.
If x= 3
then
l= 8(3)-3
l= 24- 3
l = 21
One side will be equal to 21 units and the perimeter will be 84 units.
P = 4l = 4(21)= 84
