Question

Find the height of a trapezium whose area is 1,080 cm² and lengths of its parallel
sides are 55.6 cm and 34.4 cm​

Answer 1

Answer:

Given

Height of a trapezium =?

Area of trapezium =1080cm²

Area of trapezium =A=(a+b/2)h

Length of the parallel sides =55.6cm and 34.4cm

1080=(55.6+34.4/2)h

1080=(90/2)h

1080=45h

1080/45=h

h=24

The height of the trapezium is 24cm

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Answer 2

Step-by-step explanation:

Area=

$\frac{1}{2} \times (sum \: of \: parallel \: side) \times distance \: between \: them \\ 1080 = \frac{1}{2} (55.6 + 34.4)h\\ 1080 = (\frac{90}{2} )h \: \\ 1080 = 45h \\ h = \frac{1080}{45} \\ h = 24cm \: \\ the \: height \: of \: the \: trapezium \: is \: 24cm$