Question

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

Answer 1

Answer: The answer is (D)
`24x+2.`

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

`\ell=4x+5,`

and width of the rectangle is given by

`b=8x-4.`

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

`p=2\ell+2b=2*(4x+5)+2*(8x-1)=8x+10+16x-8=24x+2.`

Thus, the correct option is (D).