Areas of Parallelograms & Triangles Test

Result

Areas of Parallelograms & Triangles Test - 4

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Question 1
1 / -0

Two parallelograms and three triangles share the same base between two parallel sides. What will be the ratio of total area of the two parallelograms and one triangle to the total area of remaining two triangles?

A
4 : 3

B
5 : 2

C
5 : 4

D
3 : 2

Solution

The parallelograms on the same base and between same parallel lines have the same area.
So, let the area of the parallelograms be 2 cm²each.
If a triangle and a parallelogram share the same base between two parallel sides, then the area of the triangle is half the area of the parallelogram.

Therefore,
Area of triangles = 1 cm²each

Required ratio = Area of (two parallelograms + a triangle) : Area of (two triangles)
= (2 + 2 + 1) : (1 + 1)
= 5 : 2