Answer:
197.5 and 202.5
Step-by-step explanation:
The area of a trapezium is [tex]A=\dfrac{a+b}{2}h[/tex]
Since h=0.9cm and the area is 180cm², we can substitute them into the formula: [tex]180=\dfrac{a+b}{2}\times0.9\implies 200=\dfrac{a+b}{2}\implies 400=a+b[/tex].
Since 1 side is longer than the other by 5 cm, we can rewrite the formula like so: [tex]400=a+b\implies400=a+a+5\implies395=2a\implies a=197.5[/tex]
Therefore, the two parallel sides are 197.5 and 202.5.
