Question

the parallel side of a trapezium are in the ratio 5:3 and the and the other side are 10 cm each if the perimeter of trapezium is 92 cm find the length of the parallel side and areas of the trapezium​

Answer 1

Answer:

3x = 36cm  

& 5x = 60cm

Step-by-step explanation:

GIVEN:

A trapezium ABCD , DC // AB  

DC : AB = 3:5 , So, If DC = 3x AB = 5x  

Height CG of the trapezium = 16 cm

Area ( trapezium ABCD) = 768cm²

TO PROVE:

DC & AB

CONSTRUCTIONS:

D C. Cut AE = ince AE // DC

PROOF :

AECD is a parellelogram ( as one pair of opposite sides are equal & parallel)  

= AE = 3x, EB = 2x

Area( parallelogram AECD) = side * corresponding height  

=> 3x * 16 = 48x cm ² ………(1)

Area ( triangle CEB) = 1/2 * side * corresponding height.

Area( triangle CEB) = 1/2 * 2x * 16 = 16x cm²…(2)

Now by adding (1) +(2)

48x + 16x = 64x = 768

=> x = 768/64 = 12

So, 3x = 36cm  

& 5x = 60cm