B. Solve the problem: Mrs. Reyna is planning to fence her vacant lot for a parking space. The desired length of the lot is 6 m longer than its width. What will be the possible dimensions of the rectangular parking space if it should be less than 40m2?
(Hint: length x width = Area of rectangle)

Step-by-step explanation:

Given

Area of the rectangle =Length × width

Given

The desired length of the lot is 6 m longer than its width, then L = 6+W

A = LW

40 = (6+W)W

40= 6W+W²

W²+6W -40 = 0

W²+10W-4W-40 = 0

W(w+10)-4(w+10) = 0

W+10 = 0 and w-4 = 4

W = -10 and w = 4

Width can't be negative

W = 4m

Since L = 6+w

L = 6+4

L = 10m

Hence the possible dimension s 4m by 10m

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c