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Ivahew [28]
3 years ago
5

A rectangular room is three times as long as it is wide, and its perimeter is 72

Mathematics
2 answers:
Zinaida [17]3 years ago
7 0

Answer:

27 meters

Step-by-step explanation:

Let x = 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 3x.

Perimeter of rectangle = 2l + 2w (formula for perimeter of rectangle)

72=2(3x)+2(x)

72=6x+2x

8x=72 (combine like terms)

x=9 meters

∴ The width of the room is 9 meters.

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

Length = 3x

=3(9)

=27 meters

∴ The length of the rectangular room is 27 meters.

Hope this helps :)

AleksAgata [21]3 years ago
5 0

Answer:

L=3w

P=2L+2w

P=6w+2w

P=8w

72=8w

x=9

L=27

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