Question

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

• A. 26x + 4y
• B. 4x + 13y
• C. 26x + 8y
• D. 13x + 8y

Answer 1

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