Question

Area of a trapezium is 480sq.cm . Length of one parallel side is 20cm and the distance between the parallel sides is 8cm.Find the length of the other parallel side.

Answer 1

Given :-

Area of the trapezium = 480 cm²

Length of one parallel side = 20 cm

Distance between the parallel sides = 8 cm

To Find :-

Length of the other parallel side

Solution :-

→ As we know that ,

$\underline{\bf{\dag} \:\mathfrak{Area\;of\;trapezium= sum\;of\;parallel\;sides \times distance\;between\;them}}$

→ Let the length of other parallel side be y cm

→ Let's find out it's value by putting values in the formula !!

$\sf \implies 480\;cm^{2} = ( 20\;cm+y) \times 8 \; cm$

$\sf \implies (20+y)=\dfrac{480}{8}$

$\sf \implies 20 + y = 60$

$\sf \implies y = (60 - 20)\;cm$

$\sf \implies y = 40\;cm$

∴ The length of other parallel side is 40 cm

_________

Answer 2

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Required answer is 40 cm