If the canal is 10 m wide at the top and 6 m wide at bottom and the area of cross-section is 640 m^2

Sagar Jinachandran   8 years AGO

Area of Trapezium A = (a+b)/2*h
A=640 m^2
a= 10 m
b= 6 m
so we have
640 = (10+6)/2*h
640 = 8 h
h = 80 m

Like? Yes (9) | No (1)  

Shagun Chaudhary   8 years AGO

let the length of canal be l.
then the area of cross section will be

6l+2{(1/2)×2l}=640
8l=640
l=80

Like? Yes (4) | No (1)  

Neelima Kongathi   8 years AGO

area of trapezium = 0.5 * (sum of parallel lines) * h
640 = 0.5 * 16 * h
h = 80m

Like? Yes (3) | No   

Yashi Das   8 years AGO

Area=640 m^2
a=10 m
b= 6 m
(1/2)(a+b)* l = 640
putting all the values,l= 80 m

Like? Yes (2) | No   

MRITUNJAY   8 years AGO

area of trapezium =1/2*(a1+a2)*h
640=1/2*(10+6)*h
h=80m
option 9

Like? Yes (2) | No (1)  

PRABHAT KUMAR   8 years AGO

Area =1/2(b1+b2)h
640=1/2(10+6)h
h=80
Option 2

Like? Yes (1) | No (1)  

ABHINAV PUSHPAM   8 years AGO

640=1/2*(10+6)* length
so, length= 640/8
= 80
option 9)

Like? Yes (1) | No (1)  

Devendra Marghade   8 years AGO

If top diameter=a=10 and bottom diamere=b=6, then
with height 'h',Trapezoid area =h(a+b)/2=640
So h=640*2/(10+6)=80
Option 9)

Like? Yes (1) | No (1)  

Abhineet kumar   8 years AGO

let length is x
area of trapezium is 1/2*sum of parallel sides*distance between them
so
1/2(10+6)*x=640
x=80m

Like? Yes (1) | No (1)  

Ram Kumar Prajapati   8 years AGO

area of trapezium = [(a+b)/2]*h
640=[(10+6)/2]*h
h=80m

Like? Yes (1) | No (1)  

Saurabh Agrawal   8 years AGO

area of trapezium = (height* sum of parallel sides)/2
640=((10+6)*x)/2
x=80

Like? Yes (1) | No (1)  

RITESH KUMAR JHA   8 years AGO

h(a+b)/2=640
a=10
b=6
hence, h= 80m

Like? Yes (1) | No (1)  

Jaikumar Bhatia   8 years AGO

By trapezium formula,
A=(a+b)/2*h
640=[(10+6)/2]*h
h=80m
Ans 80m
option (9)

Like? Yes (1) | No (1)  

Jamil Ahmed   8 years AGO

Area of trapezium = 1/2*h*(a + b), where h is height and a & b are length of the parallel sides.
Here, a = 10 m and b = 6 m.
Therefore, 640 = 1/2*h*(10+6)
Solving, we get, h = 80 m

Like? Yes (1) | No (1)  

Yash Saxena   8 years AGO

cross section is trapezium the two given sides must be parallel sides and the required answer is its length so putting the area we get the required length of the canal

Like? Yes (1) | No (1)  

sunita kumawat   8 years AGO

trapezium formula = 1/2(10+6)h=640
640/8=h
80=h

Like? Yes (1) | No (1)  

bubbly   8 years AGO

area of trapezium=1/2(a+b)h
640=1/2(10+6)h
h=l
l=80m^2

Like? Yes (1) | No (1)  

Anannya Mathur   8 years AGO

Let length of canal be h.
1/2*h*(10+6)=640
h=80m

Like? Yes (1) | No (1)  

Saleel Kulkarni   8 years AGO

Let the length of the canal be x
so if we take the cross section area of the canal=twice the area of the right angle triangle + area of the rectangle
640= x+x+6x
x=80m
Option 9)

Like? Yes (1) | No (1)  

DHAKAD NEETENDRA SINGH   8 years AGO

It makes a trapezium which contain two triangles both sides and a quardilateral in between them.

let height is h
then 1/2*2*h + 1/2*2*h + 6*h = 640
by solving ... we get
h=80m ans...

Like? Yes (1) | No (1)  

YASWANTH REDDY   8 years AGO

let the height of the canal be 'h' m.
Given area of cross section(trapezoidal) = 640 sq.m
therefore 640 = 0.5*h*(6+10),
then we get h = 80 m

Like? Yes (1) | No (1)  

mitali garg   8 years AGO

area of trapezium is h(a+b)/2
therefore a and b are 10 and 6
h(16)/2=640
8h=640
h=640/8
h=80

Like? Yes (1) | No (1)  

satish ojha   8 years AGO

(100+6)/2=8 m wide avg
length * wide =640
length = 640/8 =80

Like? Yes (1) | No (2)  

GOURANGA SUNDAR MANDAL   8 years AGO

the area of the canel is (10+6)/2*lenght=640
so length is 80..so option 9 is correct answer

Like? Yes (1) | No (2)  

ayushi   8 years AGO

area of trapezium =640
640=1/2*length(6+10)
length=80 m

Like? Yes (1) | No (2)  

sumit kumar   8 years AGO

1/2*(10+6)×height=640
height=80m

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Mukund Manohar   8 years AGO

Area of trapezium = 1/2(a+b)h
640=1/2(10+6)h
On solving,length of canal h=80m

Like? Yes (1) | No (2)  

sugayathri   8 years AGO

area of a trapezium = [(a+b)]h/2


(10+6)h/2 = 640m^2

h = 80m

Like? Yes (1) | No (2)