Let w = width then the length, l = 4w. To find the perimeter you add all the sides which gives
w + 4w + w + 4w = 70.
10w = 70
w = 7
then l = 4w = 4(7) = 28
The dimensions of the room are 7 x 28 meters
Bon F.
asked • 02/22/21Math Problem x6
A rectangular room is 4 times as long as it is wide, and its perimeter is 70 meters. Find the dimension of the room.
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2 Answers By Expert Tutors
Mike D. answered • 02/22/21
Tutor
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BSc Mathematics MSc Operational Research
Say width is w
Then length is 4w
Perimeter = w + 4w + w + 4w = 10w
10w = 70
w = 70/10 = 7
Length = 4 x 7 = 28
So length 28m width 7 m. check 28 + 28 + 7 + 7 = 70
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