Answer: The perimeter is 6w + 10 and the area is 2[tex]w^{2}[/tex] + 5w and they are all expressed as a binomial. d
Step-by-step explanation:
The statement says that the length is 5 more than twice the width, and we will represent that by the equation L = 2w + 5 where L is length and w is the width.
We know that to find the Perimeter of a rectangle we will add twice the length plus twice the width.
The length is 2w +5 and the width is w.
Perimeter= 2l + 2w
Perimeter = 2(2w+5) + 2(w)
Perimeter = 4w + 10 + 2w This is a trinomial , so convert it into a binomial by combining like terms.
Perimeter = 6w + 10
The perimeter of the rectangle will be 6w +10 .
Now we know to find the area of a rectangle we will have to multiply the length by the width.
Multiply the length by the width.
Area=(w)(2w+5)
Area = 2w^2 + 5w
The area will also be 2w^2 +5w.
