Question

The height of a trapezium of area 84 sq cm is 7 cm. If one of the bases of the trapezium is 14 cm long, how long is the other base of the trapezium?

Answer 1

Answer:

84sq cm=1/2(14+x)×7

Step-by-step explanation:

84=7×7+7x=5

Answer 2

The length of other base of trapezium is 10 cm.

Step-by-step explanation:

Since we have given that

Height of a trapezium = 7 cm

Area of trapezium = 84 sq. cm

Length of one of the base = 14 cm

Let a = 14 cm

So, we need to find the value of 'b'.

According to question, we get that

$84=\dfrac{1}{2}\times (a+b)\times h\\\\84\times 2=(14+b)\times 7\\\\\dfrac{168}{7}=14+b\\\\24=14+b\\\\b=24-14\\\\b=10\ cm$

Hence, the length of other base of trapezium is 10 cm.

# learn more:

find the find the area of a trapezium with base 15 cm and height 5 cm if the sides parallel to given base is 7 cm long

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