If a triangle and a parallelogram has the same dimension of base and height , What is the ratio of area of triangle is to area of parallelogram?
Answers
The ratio of the area of the triangle to the area parallelogram is 1: 2
Given:
A triangle and a parallelogram have the same dimension of base and height
To find:
The ratio of the area of the triangle to the area of the parallelogram
Solution:
Formula used:
Area of Triangle = (1/2) base × height
Area of a parallelogram = base × height
Given that
The triangle and a parallelogram have the same dimension of base and height
Let 'b' be the base of the triangle and parallelogram, and h be the height of the triangle and parallelogram.
By the given formulas,
Area of triangle = (1/2) × b × h
Area of the parallelogram = b × h
Thus,
Ratio of area of triangle and parallelogram
= Area of Triangle area: Area of Parallelogram
= (1/2) × b × h : b × h
The above ratio can be simplified as given below
=> (1/2)bh : bh
Multiply by 2
=> 2(1/2)bh : 2bh
=> bh: 2bh
Divide by bh
=> bh/bh: 2bh/bh
=> 1 : 2
Therefore,
The ratio of the area of the triangle to the area parallelogram is 1: 2
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