Complete question :
the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio with a length of 16.8 inches. original blueprints length is 14 inches and original blueprints width is 12 inches. what is the scale for the new blueprint and what is the width of the blueprint with the new scale?
Answer:
2.5 fts, 14.4 fts
Step-by-step explanation:
Given that:
Scale of original blueprint : 2inches = 3 feets
To make a new blueprint with a length of 16.8 inches, the scale for the new blueprint will be :
Original scale : 2 inches = 3 feets
Original blueprint length = 14 inches
Then,
2 inches = 3 feets
14 inches = d
Cross multiply :
2d = 42
d = 21 feets
Hence, new scale for blueprint :
16.8 inches = 21 feets
2 inches = d
16.8d = 42
d = 2. 5 feets
For the width :
14 inches = 16.8 feets
12 inches = w
14w = 201.6
w = 201.6/14
Width = 14.4feets
5x-12=2x+24
-2x -2x
3x-12=24
+12 +12
3x=36
/3 /3
x=12
The two values are positive 9 and negative 9
