Question

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Answer 1

Answer:

The formula to find area of a trapezium is [(a+b)/2]×h. Therefore [(a+b)/2] is equal to 25 because 200/8 is equal to 25.

Answer 2

$formula \: = \: \frac{h(a + b)}{2}$

Area of trapezium = 200 cm².

Height = 8 cm

Let the parallel side be x.

According to the question,

Longer side = 6 + x

$\frac{h( a+b )}{2} = \: area$

$\frac{8(x + 6 + x)}{2} = 200$

$\frac{4(2x + 6)}{1} = 200$

${8x + 24} = 200$

$8x = 200 - 24$

$8x = 176$

$x = \frac{176}{8}$

$x = 22$

Therefore,

Length of smaller side = x = 22 cm

Length of longer side = 6 + x = 6 + 22 = 28 cm

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