Question

The height of a trapezium is 7m. One of its bases is 8m. The area of trapezium is 154m square. Find the other base

Answer 1

Answer:

$h = 7m \\ one \: side = 8m \\ area \: of \: trapezium = \frac{1}{2} (sum \: of \: parallel \: sides) \times h \\ 154 = \frac{1}{2} \times (8 + x) \times 7 \\ \frac{154 \times 2}{7} = 8 + x \\ 22 \times 2 = 8 + x \\ 44 - 8 = x \\ x = 36$

Answer 2

The measure of other base is 36 m

Explanation:

We know that , the area of trapezium is given by :-

$A\dfrac{1}{2}(a+b)h$            (1)

, where h= height of trapezium .

a and b are parallel bases of trapezium.

As per given , we have

The height of a trapezium : h=7m

One of its bases : a= 8m

The area of trapezium : A= 154m square.

Put these values in (1), we get

$154=\dfrac{1}{2}(8+b)7$  

$\Rightarrow\ 8+b=\dfrac{154\times2}{7}=44\\\\\Rightarrow\ b=44-8=36$

Hence, the measure of other base is 36 m.

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