Question

find the area of given plot ​

Answer 1

The total area = 776

Step-by-step explanation:

First, take Δ ABE.

It is a right triangle with BE = 30, and AB = 24

Now, BE² = AB² + AE²

⇒ AE² = 30² - 24² = 324

⇒ AE = 18.

So, the area of Δ ABE is = $\frac{1}{2}\times AB \times AE = 0.5 \times 24 \times 18 = 216$

Take Δ BCE.

The sides are 30, 26, and 28.

So, half perimeter = $\frac{30 + 26 + 28}{2} = 42$

Hence, area of Δ BCE = $\sqrt{42(42 - 30)(42 - 26)(42 - 28)} = 336$

Take Δ CDE.

Area of Δ CDE = $\frac{1}{2}\times CE \times DF = 0.5 \times 28 \times 16 = 224$

Therefore, the total area = 216 + 336 + 224 = 776 (Answer)