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QuestionA rectangular meeting room has an area of 4614546 \frac{14}{5} sq. yards. Find the width and the platform's fraction of the area.

Studdy Solution

STEP 1

Assumptions1. The room is rectangular in shape. The platform is also rectangular in shape and has the same length as the room3. The total area of the room is 4614546 \frac{14}{5} square yards4. The area of the platform is 737457 \frac{37}{45} square yardsPart A

STEP 2

Let's denote the length of the room (and the platform) as $$ and the width of the room as $W$. The area of the room is given by the product of its length and width.
Arearoom=L×WArea_{room} = L \times W

STEP 3

We know the total area of the room. So we can write the equation as46145=L×W46 \frac{14}{5} = L \times W

STEP 4

Since the width of the room is what we are trying to find, we can express WW in terms of $$ and the total area of the room.
W=4614W = \frac{46 \frac{14}{}}{}Part B

STEP 5

The fraction of the entire floor that is the raised platform is given by the ratio of the area of the platform to the total area of the room.
Fractionplatform=AreaplatformArearoomFraction_{platform} = \frac{Area_{platform}}{Area_{room}}

STEP 6

We know the area of the platform and the total area of the room. So we can write the equation asFractionplatform=374546145Fraction_{platform} = \frac{ \frac{37}{45}}{46 \frac{14}{5}}Note Without knowing the actual length of the room, we cannot calculate the numerical value of the width of the room or the fraction of the floor that is the raised platform. However, the equations provided in steps4 and6 model the problem as requested.

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