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.
check the picture below.
notice, if we put the 90° angle at the bottom, one leg from it will be horizontally straight and the other will be vertically straight.
Answer:
the
Step-by-step explanation:
approximate percent is 0.14%
