Complete Question:
The area of a trapezium is 400 cm2, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, then the length of the other side is ______
Answer:
[tex]Side\ 2 = 30cm[/tex]
Step-by-step explanation:
Given
[tex]A= 400cm^2[/tex] --- Area
[tex]h = 16cm[/tex] --- Height
[tex]Side\ 1=20cm[/tex]
Required
The length of the other side (Side 2)
The area of a trapezium is:
[tex]A = \frac{1}{2}(Side\ 1 + Side\ 2) * h[/tex]
[tex]400 = \frac{1}{2}(20 + Side\ 2) * 16[/tex]
[tex]400 = (20 + Side\ 2) * 8[/tex]
Divide both sides by 8
[tex]50 = 20 + Side\ 2[/tex]
Collect Like Terms
[tex]Side\ 2 = 50 - 20[/tex]
[tex]Side\ 2 = 30cm[/tex]
