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

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

d=√400

d=20 ft

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

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: