Answer:
[tex]A=240\ cm^2[/tex]
Step-by-step explanation:
Let
x -----> one parallel side of the trapezium
y ----> the other parallel side of the trapezium (bigger side)
we know that
The area of the trapezium is equal to
[tex]A=\frac{1}{2}(x+y)h[/tex] ----> equation A
[tex]\frac{x}{y}=\frac{3}{5}[/tex] ----> [tex]x=\frac{3}{5}y[/tex] ---> equation B
we have
[tex]h=10\ cm\\y=30\ cm[/tex]
Find the value of x
substitute the value of y in the equation B
[tex]x=\frac{3}{5}(30)=18\ cm[/tex]
Find the area
substitute the values in the formula
[tex]A=\frac{1}{2}(18+30)10[/tex]
[tex]A=240\ cm^2[/tex]
