A rectangular room is three times as long as it is wide, and its perimeter is 72 meters. Find the length of the room.

L=3w

P=2L+2w

P=6w+2w

P=8w

72=8w

x=9

L=27

meters

Step-by-step explanation:

Let = the width of the rectangular room.

From the information "is three times as long as it is wide", we can set the length of the room as .

Perimeter of rectangle = (formula for perimeter of rectangle)

(combine like terms)

meters

∴ The width of the room is 9 meters.

To find the length of the room, we can use substitution:

Length =

meters

∴ The length of the rectangular room is 27 meters.

Hope this helps :)

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°