Respuesta :

Answer:

20ft

Step-by-step explanation:

Step one:

given data

a rectangular living room is 16 feet by 12 feet

Hence the Lenght = 16 ft

The width = 12 ft

Required

The diagonal of the room

Step two:

applying Pythagoras theorem we can find the diagonal as

[tex]d^2= l^2+w^2\\\\d^2= 16^2+12^2\\\\d^2= 256+144\\\\d^2= 400\\\\[/tex]

d=√400

d=20 ft

diagonal is 20ft hence  the distance between opposite corners of the living room 20ft