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

Answer:6 meters by 9 metersStep-by-step explanation:Step 1: Formula for perimeter of rectangleRectangle's perimeter = 2 (length) + 2 (width)Rectangle's perimeter = 2 (length + width)Step 2: Find the length and width in terms of xWidth = xLength = 1.5 times widthLength = 1.5xStep 3: Find xPerimeter = 2(length + width)30 = 2 (1.5x + x)30/2 = 2.5x15/2.5 = xx = 6Step 4: Find the length and widthWidth = x = 6 metersLength = 1.5x = 1.5(6) = 9 metersTherefore, the dimensions of the room are 6 meters and 9 meters.