The area (in square centimeters) of a square coaster can be represented by d^2+8d+16 .

a. write and expression that represents the side length of the coaster.
(d+4)

b. write an expression for the perimeter of the coaster.
answer : ?
!

The expression that represent the length of the coaster is (d + 4)

Area of a square = l²

Given:

Area of a square = d² + 8d + 16

solve the quadratic expression

d² + 4d + 4d + 16

d(d + 4) + 4(d + 4)

(d + 4) (d + 4)

Area of a square = l²

= length × length

Perimeter of a square = 4 × length

= 4 × (d + 4)

= 4d + 16

Therefore, the expression for the perimeter of the coaster is 4d + 16

Learn more about area of a square:

link

ANSWER

a. d+4

b. 4d+16

EXPLANATION

The area of the square coaster is represented by:

We split the middle term to obtain,

We factor by grouping to get,

Since area of a square is l² , it means the side length of the square is

b) The perimeter of a square is given by

We substitute the length in terms of d, to obtain;

Or

if im undersanding the question correctly, its organized from 10

step-by-step explanation:

no this is a nonlinear negative