Gabby walks 12 blocks east from school and then 16 blocks south and each block is 50 yards how far is Gabby from school in yards?

(12*50) + (16*50) = ?

draw the path taken, then a straight line back to the school.

You have a right triangle, with legs 12 and 16 blocks.

This is just a 3-4-5 right triangle, scaled up by a factor of 4.

So, the distance is 4*5 blocks, or 20*50 = 1000 yards

To find the distance Gabby is from school, we need to use the Pythagorean theorem because she walked in two perpendicular directions (east and south) forming a right triangle. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

In this case, the distance Gabby walked west-east forms one of the legs of the triangle, which is 12 blocks. The distance she walked north-south forms the other leg of the triangle, which is 16 blocks. Since each block is 50 yards, we can calculate the lengths of the legs of the triangle:

West-East distance: 12 blocks x 50 yards/block = 600 yards
North-South distance: 16 blocks x 50 yards/block = 800 yards

Now, using the Pythagorean theorem, we can find the distance from school (the hypotenuse):

Distance from school = √(West-East distance^2 + North-South distance^2)
Distance from school = √(600^2 + 800^2)
Distance from school = √(360,000 + 640,000)
Distance from school = √1,000,000
Distance from school = 1000 yards

Therefore, Gabby is 1000 yards away from school.