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A rectangular parking lot has an area 315 square yards. Its length (l) is 3 times its width (w). Which of the following equations could you use to determine the width of the parking lot?
- a)3w x w = 315
- b)3l x l = 315
- c)w x 3 = 315
- d)w = 315/3
- e)w - 3 = 315
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A rectangular parking lot has an area 315 square yards. Its length (l)...
The correct answer is a. The formula for the area of a rectangle is A = l x w, with l as the length and w as the width. The question states that the length of the parking lot is three times as long as the width. If w is the width, then the length is 3 x w, or 3w. Therefore, the area of the parking lot is 3w x w = 315.
Community Answer
A rectangular parking lot has an area 315 square yards. Its length (l)...
To determine the width of the rectangular parking lot, we need to set up an equation based on the given information. Let's break down the problem step by step:
Step 1: Identify the given information.
- The area of the parking lot is 315 square yards.
- The length (l) is 3 times the width (w).
Step 2: Set up an equation using the given information.
- The area of a rectangle is given by the formula: Area = Length × Width.
- We are given that the area is 315 square yards, so we can write the equation as: 315 = l × w.
- We also know that the length is 3 times the width, so we can substitute l with 3w: 315 = 3w × w.
Step 3: Simplify the equation.
- Multiply 3w × w: 315 = 3w^2.
Step 4: Solve for the width.
- To solve for w, we need to isolate w on one side of the equation.
- Divide both sides of the equation by 3: 315/3 = 3w^2/3.
- Simplify: 105 = w^2.
- Take the square root of both sides to solve for w: √105 = √w^2.
- Simplify: √105 = w.
Step 5: Finalize the answer.
- The width of the parking lot is √105.
Therefore, the correct equation to determine the width of the parking lot is option A) 3w × w = 315.
Step 1: Identify the given information.
- The area of the parking lot is 315 square yards.
- The length (l) is 3 times the width (w).
Step 2: Set up an equation using the given information.
- The area of a rectangle is given by the formula: Area = Length × Width.
- We are given that the area is 315 square yards, so we can write the equation as: 315 = l × w.
- We also know that the length is 3 times the width, so we can substitute l with 3w: 315 = 3w × w.
Step 3: Simplify the equation.
- Multiply 3w × w: 315 = 3w^2.
Step 4: Solve for the width.
- To solve for w, we need to isolate w on one side of the equation.
- Divide both sides of the equation by 3: 315/3 = 3w^2/3.
- Simplify: 105 = w^2.
- Take the square root of both sides to solve for w: √105 = √w^2.
- Simplify: √105 = w.
Step 5: Finalize the answer.
- The width of the parking lot is √105.
Therefore, the correct equation to determine the width of the parking lot is option A) 3w × w = 315.
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A rectangular parking lot has an area 315 square yards. Its length (l) is 3 times its width (w). Which of the following equations could you use to determine the width of the parking lot?a)3w x w = 315b)3l x l = 315c)w x 3 = 315d)w = 315/3e)w - 3 = 315Correct answer is option 'A'. Can you explain this answer?
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A rectangular parking lot has an area 315 square yards. Its length (l) is 3 times its width (w). Which of the following equations could you use to determine the width of the parking lot?a)3w x w = 315b)3l x l = 315c)w x 3 = 315d)w = 315/3e)w - 3 = 315Correct answer is option 'A'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A rectangular parking lot has an area 315 square yards. Its length (l) is 3 times its width (w). Which of the following equations could you use to determine the width of the parking lot?a)3w x w = 315b)3l x l = 315c)w x 3 = 315d)w = 315/3e)w - 3 = 315Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular parking lot has an area 315 square yards. Its length (l) is 3 times its width (w). Which of the following equations could you use to determine the width of the parking lot?a)3w x w = 315b)3l x l = 315c)w x 3 = 315d)w = 315/3e)w - 3 = 315Correct answer is option 'A'. Can you explain this answer?.
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