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irina1246 [14]
3 years ago
10

The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸

and 30y⁶. What is the length and width of the rectangle?
Mathematics
2 answers:
Lorico [155]3 years ago
6 0

Answer:

The Width of the Rectangle =10y^6

\text{Length of the Rectangle}=210y^8

Step-by-step explanation:

The area of the rectangle =70y^8 30y^6.

We are told that the width of the rectangle is equal to the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Let us determine the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Express each term as a product to pick out the common factors:

70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6

In the two terms, the common terms are 10 and y^6. Therefore their greatest monomial factor =10y^6

The Width of the Rectangle =10y^6

Recall: Area of a Rectangle =Length X Width

70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8

aev [14]3 years ago
4 0

Answer:

Step-by-step explanation:

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