Answer
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Hint- Here we will proceed by using the given condition i.e. diagonal of square A = x + y, we will find area of both the squares so that we can get the side of square B. Then using the formula of diagonal of square i.e. $\sqrt 2 a$, we will get the required diagonal of square.
Complete step-by-step answer:
As we are given that diagonal of square A = x + y
Now let us assume a be the side of square A,
Also $2{a^2} = {\left( {x + y} \right)^2}$
According to the question,
We can say that area of square B $ = 2{a^2}$
(As area of B $ = 2 \times area{\text{ of A}}$)
Area of B $ = {\left( {x + y} \right)^2}$
But we know that the formula of area of square is ${\left( {side} \right)^2}$
So each side of the square B $ = \left( {x + y} \right)$
And by using the formula of diagonal of square $ = \sqrt 2 a$
We get-
Diagonal of square B $ = \sqrt 2 \left( {x + y} \right)$
Note- In order to solve this type of question, we must know all the formulas related to square as here also we used the formula of area of square i.e. ${\left( {side} \right)^2}$and formula of diagonal of square$ = \sqrt 2 a$.
Complete step-by-step answer:
As we are given that diagonal of square A = x + y
Now let us assume a be the side of square A,
Also $2{a^2} = {\left( {x + y} \right)^2}$
According to the question,
We can say that area of square B $ = 2{a^2}$
(As area of B $ = 2 \times area{\text{ of A}}$)
Area of B $ = {\left( {x + y} \right)^2}$
But we know that the formula of area of square is ${\left( {side} \right)^2}$
So each side of the square B $ = \left( {x + y} \right)$
And by using the formula of diagonal of square $ = \sqrt 2 a$
We get-
Diagonal of square B $ = \sqrt 2 \left( {x + y} \right)$
Note- In order to solve this type of question, we must know all the formulas related to square as here also we used the formula of area of square i.e. ${\left( {side} \right)^2}$and formula of diagonal of square$ = \sqrt 2 a$.
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