Question

2. The parallel sides of a trapezium are 18 m and 8 m respectively and the area of the trapezium is
130 mFind the distance between the parallel sides.​

Answer 1

Answer:

10

Step-by-step explanation:

h = 10 is the answer for above question

Answer 2

Given :-

• Length of both sides of trapezium are 18 m and 8 m respectively .
• Area of trapezium is 130 cm²

To Find :-

• The distance between the parallel sides of trapezium .

Solution :-

Length of one side of trapezium ( DC ) = 8 cm

Length of the second side of the trapezium ( AB ) = 18 cm

Area of trapezium ABCD = 130 cm²

Let height of the trapezium ( DL ) = 'x'

Now,

➙ Area of trapezium = $\frac{1}{2}$ × (sum of parallel sides) × Height

➙ 130 cm² = $\frac{1}{2}$ × (8 cm + 18 cm ) × x

➙ 130 cm² = $\frac{1}{2}$ × 26 cm × x

➙ 130 cm² = $\frac{1}{\cancel{2}}$ × ${\cancel{26}} cm$ × x

➙ 130 cm² = 13 × x

➙ x = $\dfrac{130cm²}{13cm}$

➙ x = $\dfrac{\cancel{130cm²}}{\cancel{13cm}}$

➙ x = 10 cm

∴ Distance between the parallel sides of the trapezium is 10 cm .