the length of one diagonal a rhombus is 80 the other..., Area, General Mathematics

Question:The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the longer diagonal ?

A `4/5` 
B `2/5` 
C `3/4` 
D `1/4`

/98

+ AnswerB

+ ExplanationLet one diagonal = x cm. Another diagonal 

`= 80/(100) x`

`= (4x)/5 cm.`

Area of rhombus` = 1/2 (x xx (4x)/5)`

                           `= 2/5 x^2`

                           `= 2/5` (square of longer diagonal)

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