Base = x
height = x-4
Area = .5 * height * base
48 = .5 * (x-4) * x
96 = x^2 -4x
x^2 -4x -96=0
x = 12
base = 12
height = 8
Answer: The area of the regions covered by grass is approximately 313.375 sq ft.
Step-by-step explanation:
Given: A company is building a new park in the shape of a circle with a 25 ft diameter.
Then radius = 
Required area = Area of circle - Area of rectangle + Area of triangle
Formula: Area of circle = 
Area of rectangle = length x width
Area of triangle = 0.5 x base x height
Area of circle = 
Area of rectangle = 20 ft x 10ft = 200 ft²
Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²
Required area = 490.625 -200+22.75 = 313.375 ft²
Hence, The area of the regions covered by grass is approximately 313.375 sq ft.
Answer:

Step-by-step explanation:
Start with:

Distribute the
into
:

Combine like terms:

Add
to both sides of the equation:

Subtract
from both sides of the equation:

Divide both sides of the equation by the coefficient of
, which is
:

or

Answer:

Step-by-step explanation:
Given the following quadratic equation:

The steps to solve it are:
1. Move the terms to one side of the equation:

2. Apply the Quadratic formula
.
In this case we can identify that:

Then, substituting these values into the Quadratic formula we get the following solutions:

