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The area of a square is 9x2 + 24xy + 16y2. Find the side of the square. - Mathematics

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प्रश्न

The area of a square is 9x2 + 24xy + 16y2. Find the side of the square.

योग

उत्तर

We have,

Area of a square = 9x2 + 24xy + 16y2

= (3x)2 + 2 × 3x × 4y + (4y)2  ...[∵ a2 + 2ab + b2 = (a + b)2]

= (3x + 4y)2

∴ The side of the square = 3x + 4y  ...[∵ Area of square = (side)2]

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Algebraic Expression, Identities and Factorisation - Exercise [पृष्ठ २३६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 98. | पृष्ठ २३६

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