Question

Dimensions of a Lot: A square plot of land has a length of 60 ft and a width of 40 ft at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has an area of 12,000 ft², what are the dimensions of the entire plot of land?

a) 80 ft by 60 ft
b) 100 ft by 80 ft
c) 120 ft by 100 ft
d) 140 ft by 120 ft

Answer 1

Main Answer:

The dimensions of the entire plot of land are 100 ft by 80 ft (Option b).

Therefore the correct answer is (Option b).

Explanation:

The area of the parking lot is given as 12,000 ft², and it is formed by the remaining space outside the building on the square plot. To find the dimensions of the entire plot, we need to consider the dimensions of the building. The length and width of the building are given as 60 ft and 40 ft, respectively, at one corner of the plot.

The total length of the plot is the sum of the length of the building and the length of the remaining space, which is 60 ft + 40 ft = 100 ft. Similarly, the total width of the plot is the sum of the width of the building and the width of the remaining space, which is 40 ft + 40 ft = 80 ft. Therefore, the entire plot has dimensions of 100 ft by 80 ft.

This can be represented as: Length of Building + Length of Parking Lot = Total Length and Width of Building + Width of Parking Lot = Total Width. Substituting the given values, we get 60 ft + 40 ft = 100 ft and 40 ft + 40 ft = 80 ft.

In conclusion, the dimensions of the entire plot of land are 100 ft by 80 ft, as determined by the dimensions of the building and the area of the parking lot.

Therefore the correct answer is (Option b).