Question

the length and breadth of a rectangle plot are 12m and 22m respectively. find the length of the diagonal. ​

Answer 1

Answer:

The length of the diagonal is 25.05m.

Step-by-step explanation:

Given that,

The length and breadth of a rectangle plot are 12m and 22m respectively and we have to find the length of the diagonal. ​

We shall write the data symbolically as follows

$l=12m,b=22m$

Let the length of the diagonal be d

According to Pythagorean theorem,in a rectangle the sum of squares of length and breadth is the square of diagonal of rectangle.Therefore,we write

$d^{2}=l^{2}+b^{2}$

Substituting the known values in above relation,we get

$d^{2}=12^{2}+22^{2}=144+484=628\\= > d=\sqrt{628}=25.05m$

Therefore,the length of the diagonal is 25.05m.

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