Question

the square of sides of two squares is 80 m. also the sun of areas of this square is 3400 square m. find the side of each square​

Answer 1

Answer:

3400/80= 42.5. this is the ans

Answer 2

Assumption

Two square sides whose sides are :-

= P and Q

Sum of the sides of 2 square

=  P + Q  

= 80

⇒ P + Q = 80

Now here,

Squaring both Sides

⇒ P² + Q² + 2PQ = 6400

Sum of the areas of these two squares = 3400m²

⇒ P²  + Q²  = 3400

⇒ 3400 + 2PQ = 6400

⇒ 2PQ = 3000

Also

⇒ P² + Q² + 2PQ = 6400

⇒ P² + Q² - 2PQ = 6400 - 4PQ

⇒ (P - Q)²= 6400 - 6000

⇒ (P - Q)² = 400

⇒ P - Q = 20

⇒ P + Q = 80

⇒ 2P = 100

⇒ P = 100/2

⇒ P = 50

⇒ P = 50 , Q  = 30

Sides of Square are 50 m and 30 m