Question

The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm.

Answer 1

241/81 cm^2

Explanation:

`2\: lenghts = wide\\\\lenght=x\\\\2x=wide\\\\Perimeter = 2(wide+lenght)\\\\P=2(2x+x)\\\\P=2(3x)\\\\P=7(1)/(3)\\\\(22)/(3)=6x\\\\x=(22)/(3*6)\\\\x=(11)/(9)\\\\width = 2x=2((11)/(9))=(22)/(9)`

`Area = lenght* width\\\\Area = (11)/(9)*(22)/(9)\\\\A=(11*22)/(9*9)\\\\A=(242)/(81)cm^2`

Answer 2

`2(80)/(81)` cm²

Explanation:

A = lw

P = 2(l + w)

~~~~~~~~~~~

l = 2w

2(2w + w) =
`7(1)/(3)`

2(3w) =
`(22)/(3)`

3w =
`(11)/(3)`

w =
`(11)/(9)`

l =
`(22)/(9)`

A =
`(22)/(9)` ×
`(11)/(9)` =
`(242)/(81)` =
`2(80)/(81)` cm²