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Mariana [72]
3 years ago
13

A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

6 meters by 9 meters

Step-by-step explanation:

<u><em>Step 1: Formula for perimeter of rectangle</em></u>

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

<u><em>Step 2: Find the length and width in terms of x</em></u>

Width = x

Length = 1.5 times width

Length = 1.5x

<u><em>Step 3: Find x</em></u>

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

<u><em>Step 4: Find the length and width</em></u>

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

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