Question

two parallel sides are 120cm and 154cm and other sides 50cm 52cm find area of trapezium

Answer 1

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Answer 2

Answer:

The area of the trapezium is 6576 cm square.

Step-by-step explanation:

Given : Two parallel sides are 120cm and 154cm and other sides 50cm 52cm

To find : Area of trapezium?

Solution :

Refer the attached figure.

Area of the triangle,

$s=\frac{a+b+c}{2}$

$s=\frac{50+34+52}{2}$

$s=\frac{136}{2}$

$s=68$

$A=\sqrt{s(s-a)(s-b)(s-c)}$

$A=\sqrt{68(68-50)(68-34)(68-52)}$

$A=\sqrt{68(18)(34)(16)}$

$A=\sqrt{665856}$

$A=816cm^2$

$A=\frac{1}{2}\times b\times h$

$816=\frac{1}{2}\times 34\times h$

$816=17\times h$

$h={816}{17}$

$h=48cm$

Area of the trapezium is

$A=\frac{1}{2} \times h\times (b_1+b_2)$

$A=\frac{1}{2} \times 48\times (120+154)$

$A=\frac{1}{2} \times 48\times 274$

$A=6576 cm^2$

Therefore, The area of the trapezium is 6576 cm square.