Question

the area of a trapezium is 156 sq. cm. if one of the parralel sides is 9 cm and the distance between them Is 12 cm, find the length of the other parralel side.​

Answer 1

${\huge{\underline{\underline{\sf{\blue{SOLUTION :-}}}}}}$

Question

• The area of a trapezium is 156 sq. cm. if one of the parralel sides is 9 cm and the distance between them Is 12 cm, find the length of the other parralel side.?

Answer

• Other parallel side = 17cm

Given

• Area of trapezium = 156 sq. cm
• One parallel side = 9cm
• height = 12cm

To Calculate

• length of other parallel side?

Explanation

Area of trapezium = 156 sq. cm ( Given )

One parallel side = 9cm ( Given )

height = 12cm ( Given )

Let other parallel side be x

${\boxed{\red{\tt{Area \:of\: Trapezium= 1/2( Sum\: of \:parallel \:Sides) × h }}}}$

putting values,

➺ 156 = 1/2 ×(9+x) × 12

➺ 156 = (9+x) ×6

➺ 156/6 = 9+x

➺ 26 = 9+x

➺ x= 26-9

➺ x= 17 cm

Hence

• Other parallel side be 17cm

__________________________________________

Answer 2

Answer:

17

Step-by-step explanation:

let the other side be x

area of trapeezium=156sq. cm.

1/2×(sum of parrlalel side)×height=156

1/2×(x+9)×12=156

(x+9)/2×12=156

(12x + 108)/2=156

12x + 108=156×2 by cross multiplication

12x + 108=312

12x=312-108

12x=204

x=204/12

x=17