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 1

a. 1in = 1.25 feet

b. 14.4inches

Answer 2

Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)

Width of the new blueprint: 14.4 inches

Explanation:

To solve this problem we can use rules of three to find each of the questions: blueprint's new scale and new width.

To find the new scale, we can find the real length of the patio first:

2 inches -> 3 feet

14 inches -> X feet

2/14 = 3/X

X = 21 feet

Now we can use this value to create the new scale:

16.8 inches -> 21 feet

2 inches -> X feet

16.8/2 = 21/X

X = 2*21/16.8 = 2.5 feet

So the new scale is 2 inches = 2.5 feet, or 4 inches = 5 feet

Now, to find the new width of the blueprint, we can do the following rule of three:

14 inches of length -> 16.8 inches of length

12 inches of width -> X inches of width

14/12 = 16.8/X

X = 12*16.8/14 = 14.4 inches