Question

the cross section of canal is in the form of trapezium if the top of canal is 15 M wide the bottom is 8m and the area of cross section 138 m square find its depth

Answer 1

Answer:

12 m

Step-by-step explanation:

Area of canal = 138m².

Area of trapezium = (1/2) * (Sum of parallel sides) * (Distance between them)

⇒ 138 = (1/2) * (15 + 8) * h

⇒ 138 * 2 = 23 * h

⇒ 276 = 23 * h

⇒ h = 12 m.

The depth of the canal is 12 m

Hope it helps you.

#Bebrainly

Answer 2

Here,

AD is the top of can = 15m

BC is the bottom of canal = 8m

We have to find the depth of the canal.

CE is the depth of canal.

Given,

Area if the canal = 138m^2

=> 1/2(a + b) × h = 138

=> 1/2(15+8)×h = 138

=> 1/2 × 23 × h = 138

=> h = 138 × 2 / 23

=> h = 6 × 2

=> h = 12m

Therefore,

$\bold{Height\:/\:Depth\: of\: the \:canal \:= 12m}$