Area is length * Width.
So the area of this rectangle would be
(x+1)(x+11)
This is a binomial so we can FOIL the two equations to get our answer
First
Outer
Inner
Last
For the F we multiply the first two terms in each expression together
(x+1)(x+11) x * x= x^2
For the O we multiply the two outer terms together
(x+1)(x+11) x*11= 11x
So far we have x^2 + 11x
For the I, we multiply the two inner terms together
(x+1)(x+11) 1*x= 1x or x
now we have x^2 + 11x +x
For the L, we multiply the last terms of both monomials together.
(x+1)(x+11) 1 * 11= 11
The area is x^2 +11x +x + 11
B. x^2 + 12x + 11 is your answer
The formula for area of a rectangle is A = bh or A = lw.
The length and width of this rectangle are given as follows:
l = x + 1
w = x + 11
To find the area, multiply these two together.
(x + 1)(x + 11)
Use FOIL to simplify this binomial. FOIL:
First: Refers to each first term in parentheses (x and x, in this case)
Outer: Refers to the outermost terms in each parentheses (x and 11 here)
Inner: Refers to the innermost terms in each parentheses (1 and x, in this case)
Last: Refers to the last terms in each parentheses (1 and 11 here).
Let's simplify.
(x + 1)(x + 11)
x² + 11x + 1x + 11
x² + 12x + 11
Answer:
B) x² + 12x + 11
