you are building a deck. you make a scale drawing with a scale of 2 feet=1/2 inch. the actual deck is 18 feet long and 12 feet wide.
Determine the length and width of the deck in the scale drawing.
I will start you out: 18/2=L/.5
You can use a proportion. Cross multiply and solve for x.
2/(1/2) = 18/x
2x = 9
x = 4 1/2 inches
Do the same for the width.
To determine the length and width of the deck in the scale drawing, we need to convert the actual dimensions of the deck into the corresponding dimensions on the scale drawing using the given scale.
Given:
Scale: 2 feet = 1/2 inch
Actual length of the deck: 18 feet
Actual width of the deck: 12 feet
To find the length on the scale drawing, we need to multiply the actual length by the scale factor:
Length on the scale drawing = Actual length * Scale factor
Length on the scale drawing = 18 feet * (2 feet / (1/2) inch)
First, convert the scale to a common unit, such as feet:
Scale factor = 2 feet / (1/2) inch
Scale factor = 2 feet / (1/2) inch * 12 inches / 1 foot (since there are 12 inches in a foot)
Scale factor = 2 feet / (1/24) foot
Scale factor = 2 feet * 24
Scale factor = 48 feet
Length on the scale drawing = 18 feet * 48 feet
Length on the scale drawing = 864 feet
Therefore, the length of the deck in the scale drawing is 864 feet.
To find the width on the scale drawing, we follow the same process:
Width on the scale drawing = Actual width * Scale factor
Width on the scale drawing = 12 feet * 48 feet
Width on the scale drawing = 576 feet
Therefore, the width of the deck in the scale drawing is 576 feet.