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Sum of the area of 2 square is 260 m square if the difference the parimeter is 24m. Find the side of the two square

Posted by Mallika Mondal 4 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

Khushi 4 years, 5 months ago

Hello!! Mallika?? main bmms me padhti hu

0Thank You

Mallika Mondal 4 years, 5 months ago

Ap konsa school main ho khushi thank you for my answer

1Thank You

Khushi 4 years, 5 months ago

⇒Let side of bigger square is x m. And side of smaller square is y m. According to given condition, x² + y²=260...(1) And 4x–4y=24 ⇒4(x–y)=24 ⇒x–y=6 ⇒x=6+y...(2) Putting values of (2)and (1) ⇒(6+y)2+y²=260 ⇒36+y²+12y+y²=260 ⇒2y²+12y–224=0 ⇒y²+6y–112=0 ⇒y²+14y–5y–112=0 ⇒y(y+14)–8(y+14)=0 ⇒(y–8)(y+14)=0 ⇒y–8=0,y+14=0 ⇒y=8, y=–14 Putting the values of y in(1) ⇒x=6+y =6+8=14 Hence, sides of squares are 14 m and 8m.

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