23 September, 06:26

# A rectangular room is 1.4 times as long as as it is wide and its perimeter is 33 meters find the dimension

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Answers (1)
1. 23 September, 06:41
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length = 9.625 m

width = 6.875 m

Explanation:

You will need the formula for the perimeter of a rectangle. P = 2 (l + w)

"l" (lowercase L) means the length.

"w" means the width.

"P" means perimeter.

Take the information from the question and turn it into equations.

l = 1.4w 1.4 times long as it is wide

P = 33 perimeter is 33 meters

Use the equation for perimeter and replace the letters with the other equations.

P = 2 (l + w)

33 = 2 (1.4w + w) Collect like terms in brackets (1.4w + 1w = 2.4w)

33 = 2 (2.4w) Multiply

33 = 4.8w Divide both sides by 4.8 to isolate 'w'

w = 6.875 Width of room

Use the equation for length. Substitute the width to find the length.

l = 1.4w

l = 1.4 (6.875) Multiply

l = 9.625 Length of room

Therefore the length is 9.625 meters and the width is 6.875 meters.
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