Question

Question 14

The area of the rectangle is 48x³y5 square inches. Its width is 6xy² inches.
What is the length of the rectangle?
length =
6xy2
inches

Answer 1

8x²y³ inches

Explanation:

Area of rectangle is Length times Width, so 6xy²·W = 48x³y⁵

Divide both sides by 6xy² using rules of exponents:

48/6 = 8

x³/x = x²

y⁵/y² = y³

REMEMBER your units!!

Answer 2

8x^2y^3

Explanation:

L = A/W

L = 48x^3y^5 : 6xy^2

48 : 6 = 8

x^3 : x = x^(3-1) = x^2

y^5 : y^2 = y^(5-2) = y^3