Answer:
5 and 10 cm
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the height and a, b the parallel bases
Here A = 52.5, h = 7 and b = 0.5a ( half the length of the other ), thus
[tex]\frac{1}{2}[/tex] × 7 × (a + 0.5a) = 52.5, that is
3.5 × 1.5a = 52.5
5.25a = 52.5 ( divide both sides by 5.25 )
a = 10
Thus
The parallel sides are 10 cm and 5 cm
