Answer:
wx = 116 /11
= 10.54
Step-by-step explanation:
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Answer:b
Step-by-step explanation:
Step-by-step explanation:
The way that I would do it, would be to use the point distance formula to find the length of each side.
Distance formula: 
After you use this formula to find the length of all sides of the polygon, you would need to use the appropriate area formula to find the area of the polygon.
Area of Triangle: A= 1/2 base times height
Area of Rectangle: A= length times width
Area of Square: A= s^2 where s is the length of the side
Area of Parallelogram: A= base times height
Area of Trapezoid: A= 1/2 times height (base 1 + base 2) where base 1 and base 2 are the parallel sides
Area of Kite or Rhombus: A= 1/2 (diagonal 1 times diagonal 2)
Area of Regular Polygons: A= 1/2 (apothem times perimeter)
The smallest region that can be photographed is
5*7 = 35 square km
so we want to know how long it takes to zoom out to an area of
35 * 5 = 175 square km.
Notice that the length and width increase at the same rate, 2 km/sec, and they start out with a difference of two, so when the width has increased from 5 to x, the length will have increased from 7 to x+2. At the desired coverage area, then,
x(x+2) = 175
x^2 + 2x = 175
x^2 + 2x + 1 = 176 [completing the square]
(x+1)^2 = 176
x+1 = ±4√11
x = -1 ±4√11
Since a negative value for x is meaningless here, x must be
-1 + 4√11 = about 12.27 km
and the time it took to increast to that value was
(12.27 - 5) km / (2 km/sec) = about 3.63 seconds