Question

3)
The area of a Trapezium is 105un² if one
of the Parallel sides is 28 (in and the
distance between the Parallel sides is 5 cm.
find the lenght of the other parallel side.​

Answer 1

Answer:

h ≈ 6.36364 cm.

Step-by-step explanation:

${\boxed{\tt{Given\::-}}}$in the question :-

'a' Base = 28 Cm.

'b' Base = 5 Cm.

'A' Area = 105 Cm².

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On the Basis of this formula

By Using This Formula :-

$A = \frac{a + b}{2}h$

Now Solving For 'h' we will get ,

$h = 2 \frac{A}{a + b} = 2. \frac{105}{28 + 5}$

h ≈ 6.36364 cm.

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Answer 2

$\huge{\underline{\underline{Question}}}$

The area of a Trapezium is 105cm² if one

of the Parallel sides is 28 (in and the

distance between the Parallel sides is 5 cm.

find the lenght of the other parallel side.

$\huge{\underline{\underline{Answer}}}$

$the \: other \: side \: of \: trapezium \: is \: = 14cm \\ let \: the \: other \: side = y \\ so \: here \: we \: know \: that \\ area \: of \: trapezium \: = \frac{1}{2} (sum \: of \: || \: sides) \\ the \: area \: is \: {105}^{2} given \\ ∴ \: \frac{1}{2} (a + b)5 = 105 \\ \frac{1}{2} \: (28 + y) = 105 \\ 5(y + 28) = 105 \times 2 \\5 y + 140 = 210 \\ 5y = 210 - 140 \\ 5y = 70 \\ y = \frac{70}{5} = 14 \\ hence \: the \: other \: side \: of \: trapezium \: is \: = 14cm$