Question

The cross - section of a canal is in the form of trapezium . If the top of canal is 15 m wide ,the bottom is 8 m and the area of cross section is 138 m2( meter square ) , find its depth .

Answer 1

12m will be the answer.

Answer 2

Answer:

Depth of trapezium is 12 m

Step-by-step explanation:

Step 1: Given

AD is the head of the canal=15m

BC is the base of the canal =8m

Step 2:

CE is the depth of the canal=?

Area of the canal= $138 \mathrm{m}^{2}$

Step 3:

Area of the canal are cross section = $138 \mathrm{m}^{2}$

Step 4: We know that the Area of trapezium formula is

Area of trapezium is ½ (a+b) x h=138

½(15+8) x h=138

½(23) x h=138

½ x 23 x h=138

H=138×2/23

H=12 m