Question

a popular electric car manufacturer makes only one model of car, so that all of its cars can use the same-sized battery packs. the battery packs fit within a quadrilateral area on each car’s chassis, as shown. the manufacturer installs a thin rubber tube around each battery pack to help protect it from the elements. how long of a tube is needed for each battery pack?
enter the unknown segment length(s), then calculate the perimeter of the polygon.
perimeter of the rectangle: inches

Explanation:

Step1: Find the length of GE

The coordinates of G are (-3, 11) and E are (11, 11). Since the y - coordinates are the same, the length of GE is the difference in x - coordinates. So, \(GE=11 - (-3)=14\) units.

Step2: Find the length of EU

The coordinates of E are (11, 11) and U are (11, - 1). Since the x - coordinates are the same, the length of EU is the difference in y - coordinates. So, \(EU = 11-(-1)=12\) units.

Step3: Calculate the perimeter of the rectangle

For a rectangle, the perimeter formula is \(P = 2\times( length + width)\). Here, length \(l = 14\) and width \(w = 12\). So, \(P=2\times(14 + 12)=2\times26 = 52\).

Answer:

52