Do the ratios 20/16 and 5/4 form a proportion?
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Her error is in squaring (2y)²
She has (2y)² = 2y²
when it should be 2y × 2y = 4y²
Then
(2y)² = 6² + 8²
4y² = 36 + 64
4y² = 100 ( divide both sides by 4 )
y² = 25 ( take square root of both sides )
y = = 5
According to the information given in the exercise, the following expression represents the area of the rectangular garden:
And the following expression represents the combined area of the walkway around the rectangular garden and the area of the garden:
You can identify that the word "combined" indicates that that expression was obtained by adding both areas.
Knowing the above, you can set up the following equation:
Where "A" is the area of the walkway around the rectangular garden.
Solving for "A", you get the following expression:
The answer is: