Question

The width of a rectangular playground is 2x -5 feet and the length is 3x+9 feet write the polynomials that represent the area and the perimeter of the playground

Answer 1

Answer:

Part 1) $A(x)=6x^{2} +3x-45$

Part 2) $P(x)=10x+8$

Step-by-step explanation:

Let

L -----> the length of a rectangular playground

W ---> the width of a rectangular playground

we have

$W=(2x-5)\ ft$

$L=(3x+9)\ ft$

step 1

Find the area of the playground

The area of a rectangle is equal to

$A=LW$

substitute the given values

$A(x)=(3x+9)(2x-5)\\A(x)=6x^{2} -15x+18x-45\\A(x)=6x^{2} +3x-45$

step 2

Find the perimeter of the playground

The perimeter of a rectangle is equal to

$P=2(L+W)$

substitute the given values

$P(x)=2((3x+9)+(2x-5))$

$P(x)=2(5x+4)$

$P(x)=10x+8$