Question
On the blueprint of a house, 40 millimeters represents 6 meters. The length of the living room is 50 millimeters on the blueprint. What is the actual
length of the living room?
length of the living room?
Ask by Wagner Schneider. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The actual length of the living room is 7.5 meters.
Solution
To find the actual length of the living room, we need to set up a proportion based on the given information.
Given:
- 40 millimeters represents 6 meters on the blueprint.
- The length of the living room on the blueprint is 50 millimeters.
Let’s denote the actual length of the living room as
We can set up the proportion as follows:
Now, we can solve for
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Find the domain:
- step2: Reduce the fraction:
- step3: Swap the sides:
- step4: Rewrite the expression:
- step5: Divide the terms:
- step6: Check if the solution is in the defined range:
- step7: Find the intersection:
The actual length of the living room is 7.5 meters.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To find the actual length of the living room, start by establishing the ratio from the blueprint. Since 40 millimeters represents 6 meters, we can set up a proportion. First, determine how many times 40 millimeters fits into 50 millimeters:
50 mm / 40 mm = 1.25.
Now, multiply 6 meters by 1.25 to find the real-life length:
6 m * 1.25 = 7.5 meters.
So, the actual length of the living room is 7.5 meters.
To visualize it, think of it as if the living room on the blueprint is expanding like a balloon filling with air! Every 40 mm on that plan is just a piece of the puzzle making up the real space in your home. So imagine entering a living room that’s a spacious 7.5 meters long—plenty of room for all your furniture and maybe even a game of indoor soccer!
