Look at the scale drawing. The length is 12 units, the width is 4 units, and each unit represents 3.5 feet.

Question

(3 points)
Determine the original rectangle dimensions and area. Do not round the numbers.

7th Grade Math Formula Sheet

Original length =
feet

Original width =
feet

Original area =
square feet

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Answer 1

To determine the original dimensions and area of the rectangle from a scale drawing, we need to multiply the dimensions given in the drawing by the scale factor.

1. Determine the original length:

   • Length in the drawing: 12 units
   • Scale factor: 3.5 feet/unit
   • Original length = Length in drawing × Scale factor
   • Original length = 12 units × 3.5 feet/unit = 42 feet

2. Determine the original width:

   • Width in the drawing: 4 units
   • Scale factor: 3.5 feet/unit
   • Original width = Width in drawing × Scale factor
   • Original width = 4 units × 3.5 feet/unit = 14 feet

3. Determine the original area:

   • Area = Length × Width
   • Original area = Original length × Original width
   • Original area = 42 feet × 14 feet = 588 square feet

Final Answers:

• Original length = 42 feet
• Original width = 14 feet
• Original area = 588 square feet