The distance between parallel sides of a trapezium is 12 cm and the distance between mid-points of other sides is 18 cm. Find the area of the trapezium.

Let ABCD be the trapezium in which AB || DC. Let E and F be mid-points of sides AD and BC respectively, then EF = 18 cm. Given, Distance between parallel sides of a trapezium is 12 cm. ∴ Height = 12 cm. By formula, Sum of the lengths of two parallel sides = 2 × Distance between mid-points of two non-parallel sides ⇒ AB + CD = 2 × EF = 2 × 18 = 36 cm. Area of trapezium = × (Sum of parallel sides) × height = × (AB + CD) × 12 = × 36 × 12 = 18 × 12 = 216 cm 2 . Hence, area of trapezium = 216 cm 2 .

The figure (ii) given below is a trapezium. Find
(i) AB
(ii) area of trapezium ABCD.

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The cross-section of a canal is shown in figure (iii) given below. If the canal is 8 m wide at the top and 6 m wide at the bottom and the area of the cross-section is 16.8 m², calculate its depth.

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

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The parallel sides of an isosceles trapezium are in the ratio 2 : 3. If its height is 4 cm and area is 60 cm², find the perimeter.

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Mathematics

The distance between parallel sides of a trapezium is 12 cm and the distance between mid-points of other sides is 18 cm. Find the area of the trapezium.

Mensuration

Related Questions

The figure (ii) given below is a trapezium. Find
(i) AB
(ii) area of trapezium ABCD.

The cross-section of a canal is shown in figure (iii) given below. If the canal is 8 m wide at the top and 6 m wide at the bottom and the area of the cross-section is 16.8 m², calculate its depth.

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

The parallel sides of an isosceles trapezium are in the ratio 2 : 3. If its height is 4 cm and area is 60 cm², find the perimeter.

Mathematics

The distance between parallel sides of a trapezium is 12 cm and the distance between mid-points of other sides is 18 cm. Find the area of the trapezium.

Mensuration

Related Questions

The figure (ii) given below is a trapezium. Find(i) AB(ii) area of trapezium ABCD.

The cross-section of a canal is shown in figure (iii) given below. If the canal is 8 m wide at the top and 6 m wide at the bottom and the area of the cross-section is 16.8 m2, calculate its depth.

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

The parallel sides of an isosceles trapezium are in the ratio 2 : 3. If its height is 4 cm and area is 60 cm2, find the perimeter.

The figure (ii) given below is a trapezium. Find
(i) AB
(ii) area of trapezium ABCD.

The cross-section of a canal is shown in figure (iii) given below. If the canal is 8 m wide at the top and 6 m wide at the bottom and the area of the cross-section is 16.8 m², calculate its depth.

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

The parallel sides of an isosceles trapezium are in the ratio 2 : 3. If its height is 4 cm and area is 60 cm², find the perimeter.