Question

Find the area of the parallelogram.

Answer 1

A = 210 cm²

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

`{25}^(2) = {h}^(2) + {24}^(2) \\ {h}^(2) = {25}^(2) - {24}^(2) \\ {h}^(2) = \sqrt{ {25}^(2) - {24}^(2) } \\ {h}^(2) = √(625 - 576) \\ {h}^(2) = √(49)`

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