Answer:
a) 69.99
b) .20%
Your welcom ,.
Step-by-step explanation:
A² + b² = c²
c² = 4² + 6.5²
c² = 58.25
c = 7.63
Perimeter = 4 + 6.5 + 7.63 = 18.13 units.
Perimeter after the increase in scale = 18.13 x 4 = 72.52 units.
Answer: 72.52 units
Answer:
7.07 units
Step-by-step explanation:
Use the Pythagorean theorem for the right triangle:
If a = x, b = x, and c = 10, then
1. Let's call:
x: the width of the walkway.
b: 2x+16 (there is a widht "x" of the walkway on each side).
h: 2x+32 (there is a widht "x" of the walkway on each side).
A: 924 ft^2 ( the area of the pool of including the walkway).
2. The area of a rectangle is:
A=(b)(h)
b: the base of the rectangle (2x+16)
a: the height of the rectangle (2x+32)
3. Then, we have a quadratic equation:
924=(2x+16)(2x+32)
4x^2+64x+32x+512-924=0
4x^2+96x-412=0
4. We apply the quadratic formula to find the value of "x":
x=(-b±√(b^2-4ac))/2a
x=3.71
The answer is: The width of the walkway is 3.71 ft
