Questions: ALEKS - 2024FA-MATH-1314-21702-College Algebra Distinguishing between the area and perimeter of a rectangle The figure below shows a rectangular parking lot. (a) Use the calculator to find the perimeter and area of the parking lot. Make sure to include the correct units. Perimeter: □ Area: □ (b) The lot will be paved. Which measure would be used in finding the amount of pavement needed? Perimeter Area (c) A chain will surround the lot. Which measure would be used in finding the amount of chain needed? Perimeter Area

ALEKS - 2024FA-MATH-1314-21702-College Algebra Distinguishing between the area and perimeter of a rectangle The figure below shows a rectangular parking lot. (a) Use the calculator to find the perimeter and area of the parking lot. Make sure to include the correct units. Perimeter: □ Area: □ (b) The lot will be paved. Which measure would be used in finding the amount of pavement needed? Perimeter Area (c) A chain will surround the lot. Which measure would be used in finding the amount of chain needed? Perimeter Area
Transcript text: (132) ALEKS - 2024FA-MATH-1314-21702-College Algebra Distinguishing between the area and perimeter of a rectangle The figure below shows a rectangular parking lot. (a) Use the calculator to find the perimeter and area of the parking lot. Make sure to include the correct units. Perimeter: $\square$ Area: $\square$ (b) The lot will be paved. Which measure would be used in finding the amount of pavement needed? Perimeter Area (c) A chain will surround the lot. Which measure would be used in finding the amount of chain needed? Perimeter Area
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Solution

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Solution Steps

Step 1: Calculate the Perimeter

To find the perimeter of a rectangle, use the formula: \[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \]

Given:

  • Length = 82 yards
  • Width = 62 yards

\[ \text{Perimeter} = 2 \times (82 + 62) = 2 \times 144 = 288 \text{ yards} \]

Step 2: Calculate the Area

To find the area of a rectangle, use the formula: \[ \text{Area} = \text{Length} \times \text{Width} \]

Given:

  • Length = 82 yards
  • Width = 62 yards

\[ \text{Area} = 82 \times 62 = 5084 \text{ square yards} \]

Step 3: Determine Measure for Pavement

For paving the lot, the area is needed because it represents the surface that will be covered.

Final Answer

  • Perimeter: 288 yards
  • Area: 5084 square yards
  • Measure for pavement: Area
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