Q2 of 14 Page 206

The cross-section of a canal is trapezium in shape. If the canal is 12m wide at the top, 8 m wide at the bottom and the area of cross-section is 84 m2. Find its depth.

Given that Canal is 12m wide which implies a distance between the two parallel sides is 12m.


Also, one side equals 8m. let other side be k.


Area of Trapezium = 84m2


84 = ×(sum of parallel sides)×(distance between them)


84 =


⇒


⇒ 8 + k = 14


⇒ k = 14 – 8


⇒ k = 6 cm.


∴ Depth = 6 cm.


More from this chapter

All 14 →
1

The length of the sides of a triangle are in the ratio 4:5:3 and its perimeter is 96cm. Find it’s area.

 3

The area of the trapezium is 540 cm2. If the ratio of the parallel sides is 7:5 and the distance between them is 18 cm. Find the length of the parallel sides.

 4

The area of a parallelogram is 392m2. If the altitude is twice the corresponding base determine the base and the height.

 5

Two parallel sides of an isosceles trapezium are 6 cm and 14 cm respectively. If the length of each non-parallel side is 5 cm find the area of the trapezium.