I need help with scales, please!
Q: You are making a scale drawing of a room using a scale of 1-inch:4-feet.
a) The room is 14 feet by 18 feet. Find its dimensions in the drawing.
b) A sofa in the room has a lenght of 6 feet. Find the length of the sofa in the drawing.
Thank you!!!!!!
One way to solve these problems is to set up a proportion.
1/4 + x/14
Cross multiply and solve for x.
4x = 14
x = 14/4
x = 3.5
Solve the others the same way.
Thank you so much! It makes sense now!
You're very welcome.
To answer these questions, you need to understand how the scale works. In this case, the scale is 1 inch:4 feet, which means that every 1 inch on the drawing represents 4 feet in real life.
a) Finding the dimensions of the room in the drawing:
To find the dimensions of the room in the drawing, you can use the scale and the given dimensions of the room.
The actual dimensions of the room are 14 feet by 18 feet.
To convert these dimensions to the drawing scale, you divide each dimension by 4 (since 1 inch on the drawing represents 4 feet in real life).
Length in the drawing = 14 feet / 4 = 3.5 inches
Width in the drawing = 18 feet / 4 = 4.5 inches
Therefore, the dimensions of the room in the drawing are 3.5 inches by 4.5 inches.
b) Finding the length of the sofa in the drawing:
To find the length of the sofa in the drawing, you can use the scale and the given length of the sofa.
The actual length of the sofa is 6 feet.
To convert this length to the drawing scale, you divide the length by 4 (since 1 inch on the drawing represents 4 feet in real life).
Length in the drawing = 6 feet / 4 = 1.5 inches
Therefore, the length of the sofa in the drawing is 1.5 inches.