Question 24

The perimeter of a square plot is equal to the perimeter of a rectangular plot which is 23 metre long and 19 metre broad. What will be the diagonal of the square plot ?

Solution

Perimeter of rectangular plot = $$2 (l + b)$$

= 2 (23 + 19) = 2 * 42

= 84 metre = Perimeter of square plot

=> Side of square plot = 84/4 = 21 metre

$$\therefore$$ Diagonal = $$\sqrt{2}$$ * side

= $$21\sqrt{2}$$ metre


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