Answer to Question #137031 in Geometry for Reza Fariz Marsela

Question

• A firm is building a car park for its employees. Assume that a car park to
accommodate x cars must have a length (in metres) of 4x+10 and a
width of 2x+10. If 24 square metres will be specifically allocated for
visitors' cars, write an expression for the amount of space available for
the cars of the workforce in terms of x if x is the planned capacity of the
car park.​

Answer 1

$area=L*W$

total area of parking lot = Ttl.A

length = L = (4x+10)m

width = W =(2x+10)m

visitor's area = V.A = 24m²

workforce area = W.A

$Ttl.A=(4x+10)*(2x+10)$

$Ttl.A=8x^2+40x+20x+100$

$Ttl.A=(8x^2+60x+100)m^2$

area for workforce = total area - area for visitors

$W.A=Ttl.A-V.A$

$W.A=(8x^2+60x+100)-24$

$W.A=8x^2+60x+76$

area for workforce = (8x²+60x+76)m²