Question

Randall purchased a plot of land for his business. The figure represents a plan of the land showing the location of the office space, parking lot and open space for a yard so that the employees and visitors can enjoy time outside. The coordinates represent points on a rectangular grid with units in feet. What is the area of the plot of land that does not include the office space, the yard and the parking lot?

Answer 1

your answer would be A. 3,600 sq. ft.

Answer 2

Option: A is the correct answer.

A) 3600 square ft.

Explanation:

Since, the area of the plot of land that does not include the office space, the yard and the parking lot is:

The area of trapezium ABCD-Area of rectangle BCEF

As we know that area of trapezium ABCD is calculated by the formula:

`Area\ of\ ABCD=(1)/(2)* (BC+AD)* BH\\\\\\Area\ of\ ABCD=(1)/(2)* (80+120)* 140\\\\\\Area\ of\ ABCD=14000\ \text{square\ ft.}`

Similarly length(l) of rectangle BCEF=130 ft.

and breadth or width(b) of rectangle BCEF=80 ft.

Hence, area of rectangle BCEF is calculated as:

`Area\ rectangle\ BCEF=l* b\\\\\\Area\ rectangle\ BCEF=130* 80\\\\\\Area\ rectangle\ BCEF=10400\ \text{square\ ft.}`

Hence, Required Area of Plot is:

14000-10400

=3600 square ft.