Mr brown bought a lot that ia half as long and twice as wide Mrs. Rockwell's lot. How does the area of his lot compare to the area of Mrs. Rockwell's lot? Explain how you know

Area of Mrs. Rockwell's lot is equal to the area of Mr. Brown's lot

Step-by-step explanation:

We can suppose the dimensions of Mrs. Rockwell's lot to be:

Length = x

Width = y

Then, we can write the dimensions of Mr. Brown's lot as:

Length = half as long as Mrs. Rockwell's lot

Length = 0.5x

Width = twice as wide as Mrs. Rockwell's lot

Width = 2y

Area of Mrs. Rockwell's lot = Length * Width

                                             = x*y  

Area of Mrs. Rockwell's lot = xy

Area of Mr. Brown's lot = 0.5x*2y

Area of Mr. Brown's lot = xy

Area of Mrs. Rockwell's lot is equal to the area of Mr. Brown's lot, as calculated above.