Question

Sam is covering her rectangular pool for the winter. The area of the cover is x² + 13x + 42 ft². The length of the cover is (x + 7) feet.

A. What is the width of the cover? Make sure to include the unit of measurement.

B. How did you find the width? Explain in complete sentences.

C. If x = 4, what is the area of the pool cover?
please show your work

Answer 1

Answer:

(x+6) feet, 110sq ft

Step-by-step explanation:

Area = width * length = something * (x + 7)

Width = (x+6) as 6 and 7 add to 13 and times to 42.

To confirm expand (x+6)(x+7)=x^2+6x+7x+42=x^2+13x+42

(x+6) feet

4^2+13(4)+42=16+52+42=110 sqft

Answer 2

Answer:

A.....area= x^2+13x+42...factorizing= ( x+7)(x+6)

l=x+7

b=area/l=(x+6)(x+7)/(x+7)=(x+6) ft

B...its above...

C...area=lb

l= x+7=4+7=11

b=x+6=6+4=10

lb=11×10=110 ft