Find the simplified expression for the distance between opposite corners of the park.
Answer to Problem 35PPE
The simplified expression for the distance between the opposite corners of the park is
Explanation of Solution
Given:
A park is shaped like a rectangle with a length 5 times its width w .
Formula Used:
Pythagoras Theorem:
In a right angled
Calculation:
Given the length, l is 5 times the width w .
So, l = 5w
Let the distance between opposite corners of the park = c .
The distance between opposite corners of the park is the hypotenuse of the right angled triangle whose sides are the length and width of the park.
Use Pythagoras theorem:
So, the simplified expression for the distance between the opposite corners of the park is
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High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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