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2 years ago

the perimeter of a rectangular room is 54 m. the length is 6 m longer than the width. what are the dimensions of the room?

Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

Answer:

Step-by-step explanation:

Width =w

Length = w + 6

Perimeter of rectangular room = 54 m

2*(length +width ) = 54

2*(w +6 + w) = 54

2*(<u>w +w</u> + 6) = 54 {Combine like terms}

2*(2w + 6) = 54

Use distributive property

2*2w + 2*6 = 54

4w + 12 = 54

Subtract 12 form both side

4w = 54 - 12

4w = 42

Divide both sides by 4

w = 42/4

w = 10.5 m

Length = 10.5 + 6 = 16.5 m

Length = 16.5 m

Width = 10.5 m

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