Question

A triangle has an area of 900m2 . If a parallelogram has the same height and base as the triangle, what is the area of the parallelogram?

Answer 1

1800
`m^(2)` is the area of parallelogram.

Explanation:

Given that:

Area of a triangle = 900
`m^(2)`

To find:

Area of a parallelogram which has same height and base as that of the given triangle.

Solution:

First of all, let us have a look at the formula for Area of a parallelogram:

`Area_(Par) = Base * Height` ...... (1)

So as to find the area of a parallelogram, we need to have the product of Base and Height of Parallelogram.

Now, let us have a look at the formula for area of a triangle:

`Area_(Tri) = (1)/(2) * Base * Height`

Given that height and base of triangle and parallelogram are equal to each other.

So,the product of base and height will also be equal to each other.

`900 = (1)/(2) * Base * Height\\\Rightarrow Base * Height = 2 * 900\\\Rightarrow Base * Height = 1800\ m^2`

By equation (1):

Area of parallelogram = 1800
`m^(2)`