the length of a rectangle is represented by 36x^4y^3 and the width is 4xy. What is the area of x?
36x^4y^3 * 4xy = ?
To find the area of a rectangle, you multiply its length by its width. In this case, the length of the rectangle is given as 36x^4y^3 and the width is 4xy.
So, to find the area of the rectangle, you need to multiply these two expressions:
Area = Length × Width = (36x^4y^3) × (4xy)
When multiplying two terms with the same variable, you add their exponents. Thus, x^4 multiplied by x gives x^4+1, which simplifies to x^5. Similarly, y^3 multiplied by y gives y^3+1, which simplifies to y^4.
Let's simplify the expression:
Area = 36x^4y^3 × 4xy
= 144x^5y^4
Therefore, the area of the rectangle in terms of x is 144x^5y^4.