Question

A rectangular field is 105 meters long and 75 meters wide. Give the length and width of another rectangular field that had the same perimeter but a larger area.

Answer 1

Length and width of another rectangular field with the same perimeter but larger area is:
Length 100 meters ; Width: 80 meters


perimeter = 2 (length + width)

perimeter = 2 (105 + 75)                      ;    2 (100 + 80)
perimeter = 2 (180)                              ;    2 (180)
perimeter = 360 m                                ;    360 m

Area = length x width                 
Area = 105 x 75                                    ;  100 x 80
Area = 7,875 m²                                    ; 8,000 m²