The cross-section of a canal is in the shape of a trapezium. If the canal is $8$ m wide at the top and $6$ m wide at the bottom and the area of cross-section is $644 m^{2}$ , then the length of the canal is

90

No worries! We‘ve got your back. Try BYJU‘S free classes today!

92

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

94

No worries! We‘ve got your back. Try BYJU‘S free classes today!

96

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $92$ m
If $h$ is the length, then by hypothesis
$\frac{1}{2} (8 + 6) \times h = 644$
$\Rightarrow 7 h = 644$
$\Rightarrow h = 92$ m

Suggest Corrections

Similar questions

Q. The cross-section of a canal is in the shape of a trapezium. If the canal is

12

m wide at the top and

8

m wide et the bottom and the area of its cross-section is 84

m^{2}

, determine its depth.

Q. The cross-section of a canal is a trapezium in shape. Ifthe canl is 8 m wide at the top and 6 m wide at the bottom and the area of cross-section is 644 sq m, then the depth of the canal is

The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top, 6 m wide at the bottom and the area of its cross section is 640 $m^{2}$ , find the depth of the canal.

The cross section of a canal is in a shape of a trapezium. If the canal is 12 m wide at the top and 8 m wide at the bottom and the area of its cross – section is 84 $m^{2}$ , determine its depth.

Q. The cross-section of a cannel is a trapezium in shape. If the canal is 15 m wide at the top and 5 m wide at the bottom and the area of cross-section is 560 sq m, the depth of canal is:

Join BYJU'S Learning Program

The cross-section of a canal is in the shape of a trapezium. If the canal is 8 m wide at the top and 6 m wide at the bottom and the area of cross-section is 644m2, then the length of the canal is

The correct option is B 92 mIf h is the length, then by hypothesis 12(8+6)×h=644⇒7h=644⇒h=92 m

The cross-section of a canal is in the shape of a trapezium. If the canal is $8$ m wide at the top and $6$ m wide at the bottom and the area of cross-section is $644 m^{2}$ , then the length of the canal is

The correct option is B $92$ m
If $h$ is the length, then by hypothesis
$\frac{1}{2} (8 + 6) \times h = 644$
$\Rightarrow 7 h = 644$
$\Rightarrow h = 92$ m