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

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

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

The value of x is 1.33.

Explanation:

The length of the rectangle is = 3x feet

The width of the rectangle is = 4 feet

Area =
`3x*4=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