24 POINTS.
(U also have to explain the reasoning you used to find the value of P)

9514 1404 393

  P = 70 +4x

Step-by-step explanation:

From your previous work with the parking lot, you know its area is ...

  A = 560 +32x

The width of the parking lot extension is (52 -20 -24) = 8 yards, so its area is ...

  extension area = 8P

We want the extension area to be equal to the original area so that adding the extension will double the area:

  extension area = A

  8P = 560 +32x

  P = 70 +4x . . . . . . divide by 8

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.