109k views
2 votes
(Score for Question 3: __of 12 points)

3. The area of a rectangle is 45x^8y^9square yards. If the length of the rectangle is 5x^3y^4 yards,
which expression represents the width of the rectangle in yards?
Answer:

1 Answer

2 votes

Answer:

The expression for the width of the rectangle is
9x^(5)y^(5).

Explanation:

The formula to compute the area of a rectangle is,


Area=length* width

Given:

Area =
45x^(8)y^(9)\ square\ yards

Length =
5x^(3)y^(4)\ yards

Determine the expression for the width of the rectangle as follows:


Area=length* width\\45x^(8)y^(9)=(5x^(3)y^(4))* width\\width = (45x^(8)y^(9))/(5x^(3)y^(4)) \\=(45)/(5)* [x^(8-3)]* [y^(9-4)]\\ =9x^(5)y^(5)

Thus, the width is
9x^(5)y^(5).

User Frederic Torres
by
6.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.