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The length and breadth of a rectangle are (2x + 5) m and 3y m respectively.
The perimeter and area of the rectangle be expressed algebraically as 2(2x + 3y + 5) m and [3y (2x + 5)] m².

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Detailed Solution

Length and breadth of the rectangle are respectively given as (2x + 5) m and 3y m.

∴ Perimeter of the rectangle = 2 (Length + Breadth)

= 2 [(2x + 5) + 3y] m

= 2 (2x + 3y + 5) m

∴Area of the rectangle = Length × Breadth

= (2x + 5) m × 3y m

= [3y × (2x + 5)] m²

Thus, the perimeter and area of the given rectangle can be respectively expressed algebraically as 2(2x + 3y + 5) m and [3y (2x + 5)] m².

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