Marco makes the rectangular sign shown to advertise the grand opening of his pizza restaurant. The sign is
surrounded by a wood frame that is x inches wide.
A. What does (20 + 2x)(30 + 2x) represent?
B. Write a polynomial for the total area of the sign and
the frame.
C. What is the total area of the sign and the frame if
the width of the frame is 2 inches?

answer: 414,377,008

step-by-step explanation:

just multiply it

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

hope this !

let me know