A triangle, a parallelogram and a rectangle have the same base and are situated between the same parallels. The ratio of their areas is :
2 : 1 : 2
2 : 2 : 1
1 : 2 : 3
1 : 2 : 2
Theorems on Area
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Question

A triangle, a parallelogram and a rectangle have the same base and are situated between the same parallels. The ratio of their areas is : 1. 2 : 1 : 2 2. 2 : 2 : 1 3. 1 : 2 : 3 4. 1 : 2 : 2

KnowledgeBoat · Accepted Answer

Let the common base be b and the common height be h. Area of triangle = × ​b × h Area of parallelogram = ​b × h Area of rectangle = ​b × h Ratio of areas of triangle, parallelogram and rectangle: = × ​b × h : ​b × h : ​b × h = 1 : 2 : 2. Hence, option 4 is the correct option.

Mathematics

A triangle, a parallelogram and a rectangle have the same base and are situated between the same parallels. The ratio of their areas is :
2 : 1 : 2
2 : 2 : 1
1 : 2 : 3
1 : 2 : 2

Theorems on Area

Related Questions

The area of trapezium PQRS will be :
170 cm²
180 cm²
160 cm²
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ABCD is a parallelogram. If AB = 3.6 cm and altitude corresponding to sides AB and AD are respectively 5 cm and 4 cm, then AD will be :
5.5 cm
3.5 cm
2.5 cm
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If the area of the parallelogram ABCD is 10 cm², then the area of ΔBCD is :
10 cm²
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A triangle and a parallelogram, both having base 5 cm, are situated between the same parallels. If the height of the triangle is 4 cm, then the area of the parallelogram is :
20 cm²
40 cm²
10 cm²
5 cm²

Mathematics

A triangle, a parallelogram and a rectangle have the same base and are situated between the same parallels. The ratio of their areas is :2 : 1 : 22 : 2 : 11 : 2 : 31 : 2 : 2

Theorems on Area

Related Questions

The area of trapezium PQRS will be :170 cm2180 cm2160 cm2190 cm2

ABCD is a parallelogram. If AB = 3.6 cm and altitude corresponding to sides AB and AD are respectively 5 cm and 4 cm, then AD will be :5.5 cm3.5 cm2.5 cm4.5 cm

If the area of the parallelogram ABCD is 10 cm2, then the area of ΔBCD is :10 cm25 cm220 cm225 cm2

A triangle and a parallelogram, both having base 5 cm, are situated between the same parallels. If the height of the triangle is 4 cm, then the area of the parallelogram is :20 cm240 cm210 cm25 cm2

A triangle, a parallelogram and a rectangle have the same base and are situated between the same parallels. The ratio of their areas is :
2 : 1 : 2
2 : 2 : 1
1 : 2 : 3
1 : 2 : 2

The area of trapezium PQRS will be :
170 cm²
180 cm²
160 cm²
190 cm²

ABCD is a parallelogram. If AB = 3.6 cm and altitude corresponding to sides AB and AD are respectively 5 cm and 4 cm, then AD will be :
5.5 cm
3.5 cm
2.5 cm
4.5 cm

If the area of the parallelogram ABCD is 10 cm², then the area of ΔBCD is :
10 cm²
5 cm²
20 cm²
25 cm²

A triangle and a parallelogram, both having base 5 cm, are situated between the same parallels. If the height of the triangle is 4 cm, then the area of the parallelogram is :
20 cm²
40 cm²
10 cm²
5 cm²