Question

two garden plots are to have the same area. one is a square and one is rectangular. the rectangular plot is 4 meters wide and 16 meters long. how large is one side of the square garden plot in meters?

Answer 1

In this question, there are two garden with same area but different shape (rectangle and square). The formula for rectangle area is length* width, so the area of the garden would be:

rectangle garden area= 4m * 16m= 64m^2

The formula for the square area would be side^2. The square garden area is same as the rectangle garden area. Combining both equations will result in:

square garden area= rectangle garden area
side^2= 64m^2
side= √64m^2= 8m