a rectangle plot is half as long again it broad and its..., Area, General Mathematics

Question:A rectangle plot is half as long again as it is broad and its area is `2/3` hectares. Then, its length is :

A `100 m` 
B `33.33 m` 
C `66.66 m` 
D `(100sqrt(3))/3 m`

/98

+ AnswerA

+ ExplanationLet breadth = x. Then, length` = 3/2 x `metres.

Area` = (3/2 xx 10000) sq.m.`

`:. 3/2 x xx x = 2/3 xx 10000 or x^2`

`= 4/9 xx 10000 or x`

`= 2/3 xx 100`.

:. Length `= 3/2 x (3/2 xx 2/3 xx 100) m`

`= 100 m.`

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