Question
find the length of a rectangle whose areas is 75x^5y^9z^2 if the width is 5xy^3z.
Answers
GPT 3.5
To find the length of the rectangle, we can divide the area by the width.
Area of the rectangle = length × width
75x^5y^9z^2 = length × 5xy^3z
Dividing both sides of the equation by 5xy^3z, we get:
length = (75x^5y^9z^2) / (5xy^3z)
Canceling out common factors:
length = (75/5) * (x^5/x) * (y^9/y^3) * (z^2/z)
Simplifying, we get:
length = 15x^4y^6z
Therefore, the length of the rectangle is 15x^4y^6z.
Area of the rectangle = length × width
75x^5y^9z^2 = length × 5xy^3z
Dividing both sides of the equation by 5xy^3z, we get:
length = (75x^5y^9z^2) / (5xy^3z)
Canceling out common factors:
length = (75/5) * (x^5/x) * (y^9/y^3) * (z^2/z)
Simplifying, we get:
length = 15x^4y^6z
Therefore, the length of the rectangle is 15x^4y^6z.