Trapezium

The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The area of the trapezium is 128 cm2. Calculate the length of the base and the height of the trapezoid.

Correct answer:

a =  20 cm
c =  12 cm
v =  8 cm

Step-by-step explanation:

a:c:v = 5:3:2 S=128 cm2  S = 2a+c v S = 25k+3k 2k S = 4k 2k S = 8k2  k=S/8=128/8=4  a=5k=5 4=20 cm
c=3k=3 4=12 cm
v=2k=2 4=8=8 cm   Verifying Solution:  S1=2a+c v=220+12 8=128 cm2



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