Question

Q1.One of the parallel sides of a trapezium is double the other and its height is 24 cm. If area of
the trapezium is 360 cm?, find the length of the parallel sides.​

Answer 1

Explanation:

Given :

One of the parallel sides of trapezium is double the other

Height of the trapezium = 24 cm

Area of trapezium = 360 cm²

To Find :

The length of parallel sides of trapezium

Solution :

Let length of one of the parallel sides be "x" then the length of the other side becomes "2x".

Area of trapezium is given by ,

$\begin{gathered} \\ \star{\boxed{\purple{\sf{Area = \frac{1}{2} \times (a + b) \times h }}}} \\ \\ \end{gathered} </p><p>⋆ </p><p>$

here ,

a and b are lengths of parallel sides

h is height of trapezium

Substituting the values we have in the formula ,

$\begin{gathered} \\ : \implies \sf \: 360 = \frac{1}{2} \times (x + 2x) \times 24 \\ \\ \end{gathered} </p><p>$

$\begin{gathered} \\ : \implies \sf \: 360 = \frac{1}{2} \times 3 {x} \times 24 \\ \\ \end{gathered} </p><p>$

$\begin{gathered} \\ : \implies \sf \: 3{x}^{} \times 12 = 360 \\ \\ \end{gathered} </p><p></p><p>$

$\begin{gathered} \\ : \implies \sf \: {x}^{} = \frac{360}{36} \\ \\ \end{gathered} </p><p>$

$\begin{gathered} \\ : \implies{\underline{\boxed {\pink{\mathfrak{x =10 }}}}} \:\bigstar\\ \\ \end{gathered} </p><p></p><p>$

★

Now ,

Length of one of the parallel side (x) = 10 cm

Then ,

The length of the other parallel side (2x) = 2(10) = 20 cm

Hence ,

Lengths of the parallel sides of given trapezium are 10 cm and 20 cm

Answer 2

Lengths of the parallel sides of given trapezium are 10 cm and 20 cm
I solved it on a sheet and it took a lot time
Please mark as Brainliest bruh