Number of Cars Sold
84
81
Car Dealership
GMC
Chevrolet
Nissan
Toyota
Ford
Honda
Hyundai
Acura
92
95
94
80
72
What is the interquartile range of this set of data?
0 7.5
12.5
23
Mukthi andretum
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Senten

First we need to find the distance from G to A, or the length of segment GA

For now we'll call this x since it's unknown. This value x adds to the other three sides of the figure to get the perimeter to be 172 inches (given)

So,

EG + GA + AM + ME = perimeter

56 + x + 56 + 35 = 172

x+147 = 172

x+147-147 = 172-147 subtract 147 from both sides

x = 25

So segment GA is 25 inches

We'll use this to find the length of segment G'A' which corresponds to GA

The other horizontal sides EM and E'M' also correspond, so we'll pair these sides up and form the proportion below

(GA)/(G'A') = (EM)/(E'M')

which turns into this

25/y = 35/14

when we use y in place of G'A'. Like x, y is unknown at first until we solve for it. Let's isolate y

25/y = 35/14

25*14 = y*35 cross multiply

350 = 35y

35y = 350

35y/35 = 350/35 divide both sides by 35

y = 10