The length of a rectangle is represented by the polyn mial 2x - 5x? + 8 and the width is represented
by the polynomial x + 3. Complete the following statements about the polynomial that represents the
area of the rectangle.

Area of the Rectangle is Length multiplied by Width:  -5x³ - 13x² + 14x + 24

Step-by-step explanation:

Length of Rectangle(L) = 2x - 5x² + 8

Width of the Rectangle(W) = x + 3

Area of the Rectangle = Length(L) x Width(W)

Area of the Rectangle = (2x - 5x² + 8) (x + 3)

= x(2x - 5x² + 8) + 3(2x - 5x² + 8)

= 2x² - 5x³ + 8x + 6x - 15x² + 24

Simplify further: solve for all like terms

Area = -5x³ - 13x² + 14x + 24

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.