The question is listed in the image below.
1 answer:
Answer:
y = 7
Step-by-step explanation:
The similarity statement tells you which vertex from the first polygon corresponds to which vertex from the second polygon.
A is paired with W, B is paired with X, C is paired with Y, D is paired with Z.
The expression <em>y</em> + 2 is placed along side WZ which corresponds to side AD in the first polygon.
Now locate two sides, one from each polygon, that are labeled with just <u>numbers</u>. That way, you'll be able to tell what the proportion is between the two shapes.
AB and WX correspond and are labeled 5 and 3, respectively.
Now you can write a proportion:
Use the Means-Extremes Property ("cross multiply").
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So as the path adds an extra 2 feet to each side I would start this by adding two feet to each part (so 25+2 x 38+2) which leaves you with 27ft by 40ft. Multiply to find this total area, which results in 1080. Now, you want to remove the actual area of the garden itself as this is not part of the path. So 25x38=950. Subtract 1080 by 950. This gives you just the area of the gardens path which would be