SOLUTION: The area of a rectangle is 216ft. squared. The length of the rectangle is 18ft. If a scale drawing of the figure has a scale of 1/2in. = 6ft. What are the dimensions of the rectang

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Question 68316: The area of a rectangle is 216ft. squared. The length of the rectangle is 18ft. If a scale drawing of the figure has a scale of 1/2in. = 6ft. What are the dimensions of the rectangle on the scale drawing?
Answer by rmromero(383) (Show Source):
You can put this solution on YOUR website!
What is Ask in the Problem?
--> What are the dimensions of the rectangle on the scale
Given :
--> Area of the Rectangle is 216 ft.
--> Length of the Rectangle is 18 ft.
--> Scale is in. = 6ft.
Formula for the Area of the Rectangle is A = length x width
or A = lw
Substitute necessary given to the formula
A = 216 ft. and l = 18ft.
A = lw
216 ft. = 18ft.w --> divide both sides by 18 to solve for width (w)

12ft. = w
The dimensions are length is 18 ft and width is 12 ft.
But we are ask for the dimension on the scale drawing
To convert ft. to in. the scale is 1/2in. = 6ft. meaning for every 6ft, there is 1/2in on the scale drawing.

w =
= 1 in. width on the scale drawing

l =
= 3/2 in. or 1 and 1/2 in. length on the scale drawing