Question

Find the area of the parallelogram.

Answer 1

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

${25}^{2} = {h}^{2} + {24}^{2} \\ {h}^{2} = {25}^{2} - {24}^{2} \\ {h}^{2} = \sqrt{ {25}^{2} - {24}^{2} } \\ {h}^{2} = \sqrt{625 - 576} \\ {h}^{2} = \sqrt{49}$

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