Question

. Two parallel sides of a trapezium and the distance between them are in the ratio 4: 3:2. If the area
the trapezium is 1,372 cm", find its height.
b+
If+bd
fthenor 11.1 mi 212 m2 fordi​

Answer 1

Step-by-step explanation:

Answer

Let the lengths of the parallel sides of the trapezium be 3acm and 4acm. Let the height of the trapezium or the distance between them be 2acm.

Area of a trapezium =

2

1

×(Sumofparallelsides)×height

=>

2

1

×(3a+4a)×2a=175cm

2

=>

2

1

×7a×2a=175

a

2

=25

=>a=5

Hence, the height of the trapezium =2a=10cm