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

Answer:

1800 $m^{2}$ is the area of parallelogram.

Step-by-step 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:

$Area_{Par} = Base \times Height$ ...... (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:

$Area_{Tri} = \dfrac{1}{2} \times Base \times Height$

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.

$900 = \dfrac{1}{2} \times Base \times Height\\\Rightarrow Base \times Height = 2 \times 900\\\Rightarrow Base \times Height = 1800\ m^2$

By equation (1):

Area of parallelogram = 1800 $m^{2}$