Answer:
A = 210 cm²
Step-by-step explanation:
Area of a parallelogram = base × height
From the question
The base is = 30 cm
Let h represent the height of the parallelogram
We must first use Pythagoras theorem to find the height of the parallelogram before finding it's area
We have
[tex] {25}^{2} = {h}^{2} + {24}^{2} \\ {h}^{2} = {25}^{2} - {24}^{2} \\ {h}^{2} = \sqrt{ {25}^{2} - {24}^{2} } \\ {h}^{2} = \sqrt{625 - 576} \\ {h}^{2} = \sqrt{49} [/tex]
We have the answer as
h = 7 cm
So from the question
height = 7cm
Let's substitute the base and the height into the above formula and solve for the area
We have
Area = 30 × 7
We have the final answer as
A = 210 cm²
Hope this helps you
