Q:

A rectangle is 3x feet long and 4 feet wide. The value of the pertimeter (in feet) is equal to the value of the area (in square feet). Find x.

Accepted Solution

A:
Answer:x= 2,4,6,8.......any even numberStep-by-step explanation:Perimeter is 4+4 + 3x+3x = 8+6xThe result of 8 + 6 times a number  should be a multiple of 4.PERIMETER                                                           AREA8+(6*2)= 8+ 12 =                                                      4*5=208+(6*4)  = 8 +24=32                                                 4*8=328+(6*6) =8+36 =44                                                    4*11=448+(6*8)=8+48=56                                                      4*14=56And so on.......