Question

John is going to build a rectangular plot that he needs to split into two equal areas. The dimensions of the rectangle will be 28 feet by 195 feet.

Answer 1

To split the rectangular plot into two equal areas, John needs to find the length of the dividing line.

The area of a rectangle is calculated by multiplying its length by its width. Therefore, the total area of John's plot is equal to:

Area = length × width
Area = 28 feet × 195 feet
Area = 5460 square feet

Since he wants to divide the plot into two equal areas, each section should have an area of:

Equal Area = Total Area ÷ 2
Equal Area = 5460 square feet ÷ 2
Equal Area = 2730 square feet

To determine the length of the dividing line, John needs to divide the equal area by the width of the plot:

Length of Dividing Line = Equal Area ÷ Width
Length of Dividing Line = 2730 square feet ÷ 28 feet
Length of Dividing Line ≈ 97.50 feet

Therefore, John needs to build a dividing line that is approximately 97.50 feet long to split the rectangular plot into two equal areas.