Question 6 (4 points) (04.04)
Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then
the grocery store, grabs a fast snack, and ends at home. How many units did he walk?
Home
Video Store
X
10
Fast Snacks
Grocery Store

p> q if you calculate p is100 q is 79

pooopoopopoopop

step-by-step explanati∵∵∴∴on:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240