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An architect is designing a rectangular-shaped skyscraper. The base of the building is a rectangle, with corners at 
(1,3),(35,3),(35,53), and 
(1,53) on the coordinate plane. What is the area of the rectangle on the graph? (1 point)
Item 1
Item 2
Item 3
1.700
units

An architect is designing a rectangular-shaped skyscraper. The base of the building is a rectangle, with corners at (1,3)(1,3), (35,3)(35,3), (35,53)(35,53), and (1,53)(1,53) on the coordinate plane. What is the area of the rectangle on the graph? (1(1 point) \newlineItem 11\newlineItem 22\newlineItem 33\newline1.7001.700 units

Full solution

Q. An architect is designing a rectangular-shaped skyscraper. The base of the building is a rectangle, with corners at (1,3)(1,3), (35,3)(35,3), (35,53)(35,53), and (1,53)(1,53) on the coordinate plane. What is the area of the rectangle on the graph? (1(1 point) \newlineItem 11\newlineItem 22\newlineItem 33\newline1.7001.700 units
  1. Identify Length: Identify the length of the rectangle by calculating the distance between two horizontal points (1,3)(1,3) and (35,3)(35,3).\newlineCalculation: Length =351=34= 35 - 1 = 34 units.
  2. Identify Width: Identify the width of the rectangle by calculating the distance between two vertical points (1,3)(1,3) and (1,53)(1,53).\newlineCalculation: Width =533=50= 53 - 3 = 50 units.
  3. Calculate Area: Calculate the area of the rectangle using the formula: Area=Length×Width\text{Area} = \text{Length} \times \text{Width}.\newlineCalculation: Area=34×50=1700\text{Area} = 34 \times 50 = 1700 square units.

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