Given the points m(-7,-4),n(-3,-3) o(-4,-7) and p(-8,-8). determine the type of quadrilateral by using coordinate geometry

Try this solution (see the attachment, there is not the only way).

The short explanation: the target - to prove, PN≠OM; PN⊥OM; point S is midpoint of OM&PN, - the properties of rhombus.

150ft ²/2 = 75ft² painted before 1st break
75ft²/2 = 37.5ft² painted before 2nd break
37.5ft²/2 = 18.75ft² painted before 3rd break
18.75ft²/2 = 9.375ft² painted before 4th break
9.37tft²/2 = 4.8675ft² painted before 5th break

75 ft² + 37.5ft² + 18.75ft² + 9.375ft²  +  4.8675ft² =  145.4925 ft²