Question

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.

Answer 1

Answer:

x= 2,4,6,8.......any even number

Step-by-step explanation:

Perimeter is 4+4 + 3x+3x = 8+6x

The result of 8 + 6 times a number  should be a multiple of 4.

PERIMETER                                                           AREA

8+(6*2)= 8+ 12 =                                                      4*5=20

8+(6*4)  = 8 +24=32                                                 4*8=32

8+(6*6) =8+36 =44                                                    4*11=44

8+(6*8)=8+48=56                                                      4*14=56

And so on.......

Answer 2

Answer:

The value of x is 1.33.

Step-by-step explanation:

The length of the rectangle is = 3x feet

The width of the rectangle is = 4 feet

Area = $3x\times4=12x$ feet square

Perimeter = $2(3x+4)$

= $6x+8$ feet

Now, its given that the value of perimeter is equal to area.

$6x+8=12x$

=> $12x-6x=8$

=> $6x=8$

x = 1.33