Answer:
Step-by-step explanation:
Let
We want to express the equation in terms of m.
Given:
Factorizing the third and fourth term, we obtain:
Substituting , the above equation becomes:
Since the options are not given, the equivalent equation is:
It could also be written in a rearranged form as:
Let length = l
width = w
length = 3 times width = 3w
Area of the land = 75 sq. m
Area = length × width = 3w×w = 75
3w²=75
w²=25
w=5 m
length = 3×15 = 15m
Now lets make the figure with the path of width x meters
(Refer the attached figure for easy understanding)
The inner length is the length of the rectangle reduced by x meters on either side due to the path
that is 15-x-x = 15-2x
the inner width is the width reduced by x meters in either side
= 5-x-x = 5-2x
Now lets calculate the inner area = inner length × inner width
(15-2x)×(5-2x)
=
= sq. m
Now the function to calculate the cost
f(x) is given by $3.00 × area of the inner land
f(x) = 3 × {75-40x+4x²)
= 225-120x+12x²
or
= 12x²-120x+225
First number = x
second number = x-3
third number = 2x
x + x-3 + 2x = 53
4x -3 =53
4x -3+3 =53+3
4x = 56
4x/4 = 56/4
x = 14
first number = 14
second number = 14-3
second number = 11
third number = 2x
third number = 2(14)
third number = 28
14 + 11 +28 = 53
53=53
Answer:
m= 1/2
Step-by-step explanation:
Not sure if this is right but I hope this helps :)