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.

a. What is the scale for the new blueprint?

b. What is the width of the blueprint with the new scale?

Answer 1

Answer:

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

Width of the new blueprint: 14.4 inches

Step-by-step 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

Answer 2

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