20 I apologize if this is wrong
Answer:
- parallel: 60 ft
- perpendicular: 30 ft
- area: 1800 ft^2
Step-by-step explanation:
Let x represent the length of fence parallel to the house. Then the length perpendicular is ...
y = (120 -x)/2
The area of the yard is the product of these dimensions, so is ...
A = xy = x(120-x)/2
This is the equation of a parabola that opens downward and has zeros at x=0 and x=120. The maximum (vertex) is on the line of symmetry, halfway between these zeros, at x=60.
The fence parallel to the house is 60 feet.
The fence perpendicular to the house is (120-60)/2 = 30 feet.
The area of the yard is (60 ft)(30 ft) = 1800 ft^2.
Answer:
C = F - 32 /(9/5)
Step-by-step explanation:
F = (9/5)C + 32
Subtract 32 from both sides
F - 32 = (9/5)C + 32 - 32
F - 32 = (9/5)C
Divide both sides by (9/5)
F - 32/(9/5) = (9/5)C/(9/5)
F - 32/(9/5) = C
C = F - 32 /(9/5)
Answer:
84x+50
Step-by-step explanation:
First, you would find the area of the entire square. The area of a square is LW, so you would multiply (7x+6)(7x+6). For this, I would use the FOIL method, so you would multiply the first terms which would be (7x)(7x)=14x^2. Then the outside terms, so (7x)(6)=42x. Then the inside, so (7x)(6)=42x. Finally, the last terms, 6(6)=36.
Then you would combine them, so the area of the whole square is 
which would equal 
.
Then, the area of the smaller square is (x)(x) which would equal 
.
Then you would subtract the smaller square from the bigger one, so the final answer would be 
which you could simplify to 
