Question

If the area of
9. Two parallel sides of a trapezium and the distance between them are in the ratio 4:3 :
the trapezium is 1,372 cm”, find its height.
10. The base of a parallelogram is thrice its height. If the area of the parallelogram is 243 cm, find its base
and height.
B​

Answer 1

Answer:

hii!!

here's ur answer...

let the two parallel sides of the trapezium be 3x and 4x and height be 2x.

area of the trapezium = 175cm²

therefore 1/2×h(b1+b2) = 175cm²

=> 1/2×2x(3x+4x) = 175cm²

=> x×7x = 175cm²

=> 7x² = 175cm²

=> x² = 175/7

=> x² = 25

=> x = √25

=> x = 5

hence parallel sides are 3x and 4x.

→ 3x = 3×5

= 15cm

→ 4x = 4×5

= 20cm

→ height of the trapezium = 2x

= 2×5

= 10cm

VERIFICATION:-

area of the trapezium = 1/2×h(b1+b2)

= 1/2×10(15+20)

= 5×35

= 175cm²

hence verified

hope this helps u..!

Step-by-step explanation:

Answer 2

Answer:

the area of

9. Two parallel sides of a trapezium and the distance between them are in the ratio 4:3 :

the trapezium is 1,372 cm”, find its height.

10. The base of a parallelogram is thrice its height. If the area of the parallelogram is 243 cm, find its base

and height.

B