Question

find the area of a trapezium is 54 cm2. The length of one of the parallel side 8cm and the night is 6cm. find the length of the other parallel side​

Answer 1

Answer:

Here we will learn how to use the formula to find the area of trapezium.

Area of trapezium ABCD = Area of ∆ ABD + Area of ∆ CBD

= 1/2 × a × h + 1/2 × b × h

= 1/2 × h × (a + b)

= 1/2 (sum of parallel sides) × (perpendicular distance between them)

Answer 2

question:

find the area of a trapezium is 54 cm2. The length of one of the parallel side 8cm and the height is 6cm. find the length of the other parallel side?

solution:

$\purple{ \sf27}$

To find:

find the length of the other parallel side?

Given:

find the area of a trapezium is 54 cm2. The length of one of the parallel side 8cm and the night is 6cm.

step by step explanation:

let us assume the first parallel side as x

let us assume the other parallel side as

( x + 6)

Area of the trapezium = 180

height of the trapezium = 6 cm

$\implies\boxed{\sf{ Area = \frac{1}{2} \: × \: Sum \: of \: the \: two \: parallel \: sides  \: × \: Perpendicular \: distance \: (Height) }}$

${\longmapsto{\mathtt{180 = \frac{1}{2} \times (x + x + 6) \times 6 }}}$

${\longmapsto{\mathtt{180 \times 2 = 6 \times (2x + 6)}}}$

${\longmapsto{\mathtt{360 = 12x + 36}}}$

${\longmapsto{\mathtt{12x = 360 - 36}}}$

${\longmapsto{\mathtt{12x = 324}}}$

${\longmapsto{\mathtt{x = \frac{324}{12} }}}$

${\longmapsto{\mathtt{x = 27}}}$

Therefore:

$\red{ \sf27 \: is \: the \: length \: of \: the \: other \: parallel \: side.}$