Question

The parallel sides of a Trapezium are in the ratio 2 is to5 find the distance between the parallel side is 10 centimetre if the area of the trapezium is 350 CM square find the length of its parallel sides

Answer 1

$\textbf{\huge{ANSWER:}}$

Given:

Ratio of parallel sides = 2 : 5

Height of trapezium = 10 cm

Area of trapezium = 350 cm^2

To find:

The length of the parallel sides of the trapezium

Method:

Let the parallel sides be = 2x and 5x

Area of a trapezium:

$\frac{1}{2} \times sum \: of \: parallel \: sides \times height$


Putting the values we have in the Formula, we get:

$350 = \frac{1}{2} \times (2x + 5x) \times 10 \\ \\ = > 350 = 5 \times 7x \\ \\ = > \frac{350}{5} = 7x \\ \\ = > \frac{350}{7 \times 5} = x \\ \\ = > 10 \: cm= x$


Now, we have:

x = 10 cm

Therefore, 2x and 5x are:

2 × 10 = 20 cm

5 × 10 = 50 cm, respectively.

Hope it Helps!! :)

Answer 2

hey there !!

the length of it's parallel sides are ;- 20cm and 50cm respectively ,,,

solution told in attachment !!

hope it helps !!

all the best