The O'Brien's are building a rectangular deck around the outside of their circular pool.
Part A: Find the combined area of the deck and the pool if the deck is (2x+3) units wide by (5x + 6) units long. SHOW YOUR WORK
Part B: If the area of the pool is 3x^2 + 7x + 6 , what is the area of just the deck?
SHOW YOUR WORK
Answers
Given : building a rectangular deck around the outside of their circular pool.
To Find : combined area of the deck and the pool if the deck is (2x+3) units wide by (5x + 6) units long
area of the pool is 3x² + 7x + 6 , what is the area of just the deck
Solution:
Area of rectangle = length * width
deck is (2x+3) units wide by (5x + 6) units long
Length = 5x + 6
width = 2x + 3
combined area of the deck and the pool = (5x + 6)(2x + 3)
= 10x² + 27x + 18
area of the pool is 3x² + 7x + 6
area of just the deck = 10x² + 27x + 18 - ( 3x² + 7x + 6)
= 7x² + 20x + 12
Learn More:
Given posible expression for the length and breadth of rectangle ...
https://brainly.in/question/13843804
Give possible expressions for the length and breadth of rectangle ...
https://brainly.in/question/13679533