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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?

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?

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Find the magnitude of a vector

Full solution

Q. 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?

Identify Length: Identify the length of the rectangle by calculating the distance between two horizontal points $(1,3)$ and $(35,3)$ . $\newline$ Calculation: Length $= 35 - 1 = 34$ units.
Identify Width: Identify the width of the rectangle by calculating the distance between two vertical points $(1,3)$ and $(1,53)$ . $\newline$ Calculation: Width $= 53 - 3 = 50$ units.
Calculate Area: Calculate the area of the rectangle using the formula: $\text{Area} = \text{Length} \times \text{Width}$ . $\newline$ Calculation: $\text{Area} = 34 \times 50 = 1700$ square units.

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