Question

the cross section of a Canal in the form of a Trapezium if the two top of the channel is 15 M wide the bottom is 8 metre and the area of cross section is 138 square find it Dept

Answer 1

We know,

Area of trapezium = 1/2× sum of parallel sides × height 

= 1/2× (a+b) × h

Now, a = 15 m, b = 8 m and height = h and area of trapezium = 138 m2

.So, putting the respective values, we get

Area of trapezium = 1/2× (a+b) × h

⇒ 138 = 1/2×(15+8)×h

⇒ 138×2 = 23×h

⇒ 138×2/23 = h

⇒ h= 276/ 23 = 12 m

Thus, height = 12 m

Answer 2

this is the wright answer