Question

The dimensions of a regulation football field are 160 feet by 360 feet.A coach has drawn a scale model of the field on a blackboard.Is the shortest side of his drawing is 14 cm, how long is the other side of the drawing

Answer 1

Answer:

31.5 cm

Step-by-step explanation:

scale of an architecture is ratio of size of drawing to size of actual object.

Given size of football field is 160 feet by 360 feet

Given that on map shortest side is 14

since value of shortest side is 160 feet

then

scale defined for this football filed will be

scale = size of shortest side on model/size of shortest side of actual football field

scale = 14/160

Given that scale will remain same for longer side as

14/160= size of longer side on model/size of longer side of actual

14/160 =  size of longer side on model/360

thus,

size of longer side on model = (14/160) * 360

size of longer side on model = 14*360/160 = 31.5

Thus, the other side of model that is longer side is 31.5 cm