Question

if the parallel sides of atrapezium are 22 cm and 38 cm, and its area is 585 cm square, find the height of the trapezium​

Answer 1

Answer:

19.5 cm

Step-by-step explanation:

Given, Area of trapezium=585 cm^2

Parallel sides= 22cm and 38cm

Area of trapezium= 585

$\frac{1}{2}(a + b) \times h = 585$

$\frac{1}{2} (22 + 38) \times h = 585$

$\frac{60}{2} \times h = 585$

30h=585

h=585/30

h=19.5 cm

Answer 2

Answer:

answer is 19.5

Step-by-step explanation:

let the height of the given trapezium be x cm.

Then,the area of trapezium be 1/2(sum of parallel side)×height

=1/2(22+38)×x cm=585 cm square

=1/2×60=585 cm square

=30x=585cm2

=x=585÷30

therefore,x=19.5

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