Question

The floor of a rectangular living room is 16 feet by 12 feet. What is the distance between opposite corners of the living room?

Answer 1

20ft

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

`d^2= l^2+w^2\\\\d^2= 16^2+12^2\\\\d^2= 256+144\\\\d^2= 400\\\\`

d=√400

d=20 ft

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