Sylvia likes to walk to work when the weather is nice she works at the bank at the corner of 41st Street and Edison avenue her house is at the corner of 42nd Street and Johnson avenue she can walk down Johnson avenue and turn right on 41st Street or she can walk through the park the distance from 42nd Street to 41st Street is 80 yards and it is 60 yards from Johnson avenue to Edison avenue assuming the street intersections are 90° angles how much shorter is it for sylvia to walk through the park
To solve this problem, we need to calculate the distance Sylvia would have to walk to get to work using both routes: walking down Johnson Avenue and turning right on 41st Street, and walking through the park.
Route 1: Walking down Johnson Avenue and turning right on 41st Street
Distance from Sylvia's house at 42nd Street to the corner of 41st Street and Johnson Avenue is 80 yards.
Route 2: Walking through the park
Distance from Sylvia's house at 42nd Street to Edison Avenue is 60 yards.
Distance from Edison Avenue to the corner of 41st Street and Johnson Avenue is 80 yards.
Total distance for Route 2 is 60 + 80 = 140 yards.
To find out how much shorter it is for Sylvia to walk through the park, we need to subtract the distance of Route 2 from Route 1.
Shorter distance = Distance of Route 1 - Distance of Route 2
Shorter distance = 80 - 140 = -60 yards
Therefore, it is 60 yards shorter for Sylvia to walk through the park.