An Introduction To Real World Math By: Shayla Brown
Question: Sam currently has a detour route when he drives from his house to work. The detour route takes him six miles North, then eight miles West. The North Carolina DOT is currently constructing a road that will take Sam directly to and from work. How many miles will Sam save round trip once he is able to take the new direct route?
Important Things: Six miles NORTH Eight miles West How many miles will be SAVED ROUND TRIP
How To Work The Problem Out First you will need to draw the DETOUR route.
You will only need the base and the height of the triangle.
The height of the triangle is 6 miles. The base is 8. So you will need to square those two numbers. 6x6=36 8x8=64.
You will need to add those two numbers. 64+36=100 Now you will need square root 100.
The square root of 100 is 10. So 10 will be the missing sidelenghth.
So because we have the missing sidelength let's go back to the beginning. To find how many miles he will save you need to add 6 miles North and eight miles west. 6+8=14. So the miles that Sam would take on the detour route is 14 miles altogether.
Now we need to subtract 14 from 10 to find the miles saved. 14-10=4. The miles Sam will save will be 4 miles if he takes the direct route.
Now remember that we said ROUND TRIP. So we will take 14+14=28. 28 will be the miles he has if he takes the direct route round trip. Now we will take 10+10=20. The miles Sam saved round trip is 8 miles if he takes the direct route.