Let the length equal x
Then the width would be 4x + 8 (8 feet more than 4 times the length)
Area = length x width:
5,472 = x * 4x+ 8
Simplify:
5472 = 4x^2 + 8x
Subtract 5472 from both sides:
4 x^2 + 8x - 5472 = 0
Use the quadratic formula to solve for x.
X = 36
Now you know the length is 36 feet
The width = 4(36) + 8 = 152 feet
Now find the perimeter: 152 + 152 + 36 + 36 = 376 feet.
The answer is B. 376
Answer:
Inequalities are,
y ≥ 4x + 2
y ≥ 2
Step-by-step explanation:
Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).
Let the equation of this line is,
y = mx + b
Slope of the line = 
m = 
m = 4
Y-intercept 'b' = -2
Equation of the line will be,
y = 4x - 2
Since shaded area is on the left side of this solid line so the inequality representing this region will be,
y ≥ 4x - 2
Another line is a solid blue line parallel to the x-axis.
Shaded region (blue) above the line will be represented by,
y ≥ 2
Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.
Answer:
A: 48in2
Step-by-step explanation:
Area of a rectangle = Length x Width
The complete figure is rectangular in shape with:
Length = 11 in
Width = 5 in
Area = 11 x 5
Area = 55 in2
The pink part is triangular in shape with:
height = 4in
Base = 3.5 in
Area of a triangle = 0.5 x base x height
Area of the pink portion = 0.5 x 3.5 x 4
Area of the pink portion = 7 in2
Area of the blue portion = (total Area) - (Area of the pink portion)
Area of the blue portion = 55 in2 - 7 in2
Area of the blue portion = 48 in 2
Hope this help you!
Answer: Side BC has a length of square root 10 units
Step-by-step explanation: I just took the test