Question

Polynomial help! 50 points! Please show all work to number 50 part a and b

Answer 1

a) 2x² + 100x + 800

b) 1,350 ft²

Explanation:

Area = length × width

(20 + 2x)(40 + x)

800 + 80x + 20x + 2x²

2x² + 100x + 800

x = 5

2(5)² + 100(5) + 800

1350

Answer 2

2x^2 + 100x +800

1350 ft^2

Explanation:

The length of the pool and walkway is x+40

The width of the pool and walkway is x +20+x = 2x+20

Area is length times width

A = (x+40) *(2x+20)

We can FOIL to find the area

first x*2x = 2x^2

outer x*20 =20x

inner 2x*40 = 80x

last = 40*20 = 800

Add these together

2x^2 +20x+80x+800

2x^2+100x+800

b. x=5

2x^2 + 100x +800

2(5)^2 +100(5) +80

2*25 +500+800

50+1300

1350 ft^2