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A rectangle has a length of 4x plus 5 and a width of 8x minus 4. Which expression shows the perimeter of that rectangle? A: 4x + 1 B: 12x - 2 C: 12x + 1 D: 24x + 2

Respuesta :

Answer: The answer is (D) [tex]24x+2.[/tex]


Step-by-step explanation:  Given that there is a rectangle, where length of the rectangle is given by

[tex]\ell=4x+5,[/tex]

and width of the rectangle is given by

[tex]b=8x-4.[/tex]

We are to find the perimeter of the rectangle. To do so, we need to add two times length with two times breadth of the rectangle.

Therefore, perimeter is given by

[tex]p=2\ell+2b=2\times(4x+5)+2\times(8x-1)=8x+10+16x-8=24x+2.[/tex]

Thus, the correct option is (D).


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