The rectangle room is 2 times as long as it wide and its perimeter is 30 meters. Find the dimensions of the room.

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14-09-2020
Mathematics

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The rectangle room is 2 times as long as it wide and its perimeter is 30 meters. Find the dimensions of the room.

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anaparra122002 anaparra122002 · Answer 1 · 2020-09-14T21:04:19+02:00

anaparra122002 anaparra122002

14-09-2020

Answer:
l = 10 m
w = 5 m

Steps:
Set equations:
l = 2w
30 = 2l + 2w

Substitute 2w with l in second equation to find l:
30 = 2l + 2w
30 = 2l + l
10 = l

Plug in 10 into first equation to find w:
l = 2w
10 = 2w
5 = w

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