Question

Pineapple Street intersects Plum Street and Apple Street at their midpoints. Your home is at point P. You leave your home and jog down Plum Street to Kiwi Street, over Kiwi Street to Apple Street, up Apple Street to Pineapple Street, over Pineapple Street to Plum Street and then back home up Plum Street. How many miles did you jog?

Answer 1

7.125 miles

Explanation:

Using the triangle midsegment theorem:

Distance of pineapple street = 1/2(distance of kiwi street) = 0.5 * 1.4 = 0. 7 miles

Distance of plum Street = (2 * distance of P to Pineapple street) = 2 * 1.3 = 2.6 miles

Distance from Kiwi to pineapple = 1/2 * distance of apple Street = 0.5 * 2.25 = 1.125 miles

1.3 + 1.3 + 1.4 + 1.125 + 0.7 + 1.3