Asked by Jahlen Ritchie on Apr 26, 2024
Verified
Find the dimensions of a piece of carpet for a square classroom with 559559559 square feet of floor space. Round your answer to two decimal places.
A) 23.64 square feet 23.64 \text { square feet }23.64 square feet
B) 23.64 feet ×23.64 feet 23.64 \text { feet } \times 23.64 \text { feet }23.64 feet ×23.64 feet
C) 23.64 feet ×312,481 feet 23.64 \text { feet } \times 312,481 \text { feet }23.64 feet ×312,481 feet
D) 312,481 feet ×312,481 feet 312,481 \text { feet } \times 312,481 \text { feet }312,481 feet ×312,481 feet
E) 23.64 feet ×2 feet 23.64 \text { feet } \times 2 \text { feet }23.64 feet ×2 feet
Square Feet
A unit of area measurement in the imperial system, representing the area of a square with sides of one foot.
- Apply the concepts of square and cubed roots in solving geometric problems.
- Determine the dimensions of geometric figures based on given conditions.
Verified Answer
MC
Matthew CocciadiferroApr 28, 2024
Final Answer :
B
Explanation :
We are told that the classroom is a square with an area of 559 square feet. Let the side length of this square be $x$ feet. Then we know $x^2=559$, so $x=\sqrt{559}\approx23.64$ feet. Therefore, the dimensions of the carpet must be $23.64\text{ feet}\times 23.64\text{ feet}$.
Learning Objectives
- Apply the concepts of square and cubed roots in solving geometric problems.
- Determine the dimensions of geometric figures based on given conditions.