The area of trapezium shaped field is 480 square meter, the distance between two parallel sides is 15m and one of the parallel side is 20m. Find the other parallel side

Respuesta :

Answer: 44 m

Step-by-step explanation:

Given

The area of the trapezium is [tex]A=480\ m^2[/tex]

Distance between parallel sides [tex]h=15\ m[/tex]

One of the parallel sides is [tex]20\ m[/tex]

Suppose the other parallel side is [tex]x[/tex]

The area of the trapezium is

[tex]A=\dfrac{1}{2}\times [\text{Sum of parallel sides}]\times h[/tex]

Put values

[tex]\Rightarrow 480=\dfrac{1}{2}\times [20+x]\times 15\\\\\Rightarrow 480\times 2=300+15x\\\Rightarrow 960-300=15x\\\Rightarrow x=44\ m[/tex]