Answer:
31 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 bases
Here A = 162, h = 6 and a = 23 , then
[tex]\frac{1}{2}[/tex] × 6 (23 + b) = 162
3(23 + b) = 162 ( divide both sides by 3 )
23 + b = 54 ( subtract 23 from both sides )
b = 31
The other base is 31 cm
