If two adjacent sides of the rectangle are (7x + 9y) units and (6x - 5y) units long, then the perimeter of the rectangle is_____ units.

26x + 4y

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4x + 13y

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26x + 8y

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13x + 8y

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Solution

The correct option is C 26x + 8y
Let, the length of the rectangle is (7x + 9y) units
Breadth of the rectangle is (6x - 5y) units
Perimeter of the rectangle = 2(length + breadth)
= 2[(7x + 9y) + (6x - 5y)]
= 2(13x + 4y)
= (26x + 8y) units
$\Rightarrow$ Perimeter of the rectangle is (26x + 8y) units

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