Question

The parallel sides of a Trapezium are 15 and 8 metre the distance between them is 12 metre what is the area of the trapezium​

Answer 1

Answer:

Area of trapezium is 138 metre square.

Step-by-step explanation:

Given : -

Length of one parallel side =15m

Length of the other parallel side = 8m

Height of the trapezium = 12m

We have to find -:

Area of the Trapezium = ??

Formula for area of Trapezium-:

$Area \: of \: trapezium = \frac{1}{2} \times (sum \: of \: parallelsides) \times h \\ = > \frac{1}{2} \times 12(15 + 8) \\ = > \frac{1} { \cancel2} \times \cancel12(15 + 8) \\ = > 6 \times 23 \\ = > 138 {m}^{2}$

Answer 2

AnswEr :

$\bold{Given} \begin{cases} \sf{Parallel \: Side_1=15 m} \\ \sf{Parallel \: Side_2=8 m} \\ \sf{Height=12 m} \\ \sf{Ar. \: of \: Trapezium=?}\end{cases}$

• Formula for Area of Trapezium :

$\leadsto \sf Area = \dfrac{1}{2} \times (P_1 + P_2) \times H$

• Plugging the Values

$\leadsto \sf Area= \dfrac{1}{ \cancel2} \times (15 + 8) \times \cancel{12}$

$\leadsto \sf Area = (15 + 8) \times 6$

$\leadsto \sf Area = 23 \times 6$

$\leadsto \large\boxed{ \sf Area= 138 \: {m}^{2} }$

⠀

∴ Area of Trapezium will be 138 m².