An experienced landscaper thought it would be funny to play a joke on some rookie landscapers. The rookies were given the measurements, length=4 cube root of 24ft and width=6 cube root of 3ft, and asked to find the exact area (no decimals) of the rectangular region they would be working with. Show the equation and all work needed to find the exact area in simplest form (no decimals). Be sure to write a sentence explaining your answer. Don't forget the label!

Question

Mathematics

Shadow

18 June, 17:19

An experienced landscaper thought it would be funny to play a joke on some rookie landscapers. The rookies were given the measurements, length=4 cube root of 24ft and width=6 cube root of 3ft, and asked to find the exact area (no decimals) of the rectangular region they would be working with. Show the equation and all work needed to find the exact area in simplest form (no decimals). Be sure to write a sentence explaining your answer. Don't forget the label!

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Answers (1)

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Kaylyn · Answer 1

48∛9 ft²

Step-by-step explanation:

Data

length = 4 ∛24 ft width = 6 ∛3 ft

The area of the rectangular region is computed as follows:

area = length * width

area = 4 ∛24 * 6 ∛3

area = 4*6 * ∛ (24*3)

area = 24 * ∛ (2³*3*3)

area = 24 * 2∛9

area = 48∛9 ft²