Question

7. Veena has a rectangular garden of length 20 m and breadth 15 m. She wants to split it
diagonally from corner to corner using a fence. How long is the fence?​

Answer 1

Answer:

25 m long fence is needed

Step-by-step explanation:

we need to use pythogarus theorum

20^2 +15^2=diagional length

400+225=625

25=$\sqrt{625}$

25m = diagonal

Answer 2

This Is a simple Question of

PYTHAGORAS THEORAM.

Let us discuss it First.

$\red{\large{\bold{\sf\text{PYTHAGORAS \: \: THEORAM}}}}[$

For any right angle triangle the square of hypotenuse is equals to the sum of squares of perpendicular and base.

i.e.

$\sf{H}^{2} = {P}^{2} + {B}^{2}$

Now

Let's move towards the Question

Here

The length and breadth of the rectangle behaves as perpendicular and base while diagonal is hypotenuse.

As She want fence across diagonal.

So we have to find the length of Diagonal.

Now Using Pythagoras Theorem

$\sf(Diagonal) {}^{2} = ( Length ){}^{2} + (Breadth) {}^{2} \\ \\ \sf(Diagonal) {}^{2} = ( 20 ){}^{2} + (15) {}^{2} \\ \\ \sf(Diagonal) {}^{2} = 400 + 225 \\ \\ \sf(Diagonal) {}^{2} = 625 \\ \\ \sf Diagonal = \sqrt{625} = 25m$

So, Required Length of Fence is 25m.