Question

the diagonal of a square is 15 M find the length of its one side and perimeter

Answer 1

diagonal of square = 15
a^2 + a^2 = 15^2
2a^2 = 225
a^2 = 112.5
a=10.6 ( side of square )
perimeter of square = 4 a = 4 × 10.6 = 42.4

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Answer 2

Answer:

=> length of its one side is $10.6$ m and the perimeter is $42.4$ m

Step-by-step explanation:

As per the given data in the question, we have to find the length of one side and the perimeter.

Given that:-

Diagonal of square = $15$m

Let, the one side of a square be 'x',

=> $x^2$ + $x^2$ = $(15)^2=225$

$=>x^2=\frac{225}{2}=112.50$

Taking square on both sides,

$=>x=\sqrt{112.50} =10.6m$

Now, for perimeter, we know that

Perimeter = 4 $\times$ $x$

=> 4 $\times 10. 6$

=> 42.4m

Hence, the required length is $10.6$ m and the perimeter is $42.4$ m.