Answer:
Part a) The ratio of the perimeters is 
Part b) The ratio of the areas is 
Step-by-step explanation:
Part A) What is the value of the ratio (new to original) of the perimeters?
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of the new triangle
y-----> the perimeter of the original triangle

we have

substitute

Part B) What is the value of the ratio (new to original) of the areas?
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the new triangle
y-----> the area of the original triangle

we have

substitute


Answer:
The answer is 85 degrees.
Step-by-step explanation:
This is because all four interior angles of the rectangle should add up to 360 degrees. So 360-85-95-95 equals 85.
I hope I helped you! :)
It should be the answer eighty
Answer:
134.375 or 134 3/8 square feet is the area of the rug
Step-by-step explanation:
In this question, we learnt someone bought rug measuring some lengths per sides were asked to help calculate the area of the rug.
Firstly, we can see that the lengths of the two sides differ? We can thus conclude that the rug is rectangular in shape.
Hence, to calculate the area of this rug, what we do is to calculate the area of the rectangle formed by the rug.
Mathematically, the area of the rug would be = l * b
According to the question, we can identify that l = 10.75 feet(3/4 = 0.75) while the b = 12.5 feet(1/2 = 0.5 feet)
Hence the area of the rug A is thus; 10.75 * 12.5 = 134.375 sq. Feet ( 0.375 = 3/8 so we can say 134 3/8 feet)
remember that when total value is used a negative number is turned positive so it equals to 282 feet