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62. The area of a rectangular field is 48m
2
and one of its sides is 6m. How long will a lady take to cross the field diagonally at the rate of 20 m/minute
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ANSWER
Given, the area of a rectangular field is 48m
2
and one side of the rectangle is = 6m.
Therefore, area of a rectangle = length×breadth
⇒ 48 = 6×breadth
⇒ Breadth = 8 m
In triangle ACD, ∠D=90
∘
Use pythagoras theorem
⇒ (AC)
2
=(AD)
2
+(DC)
2
⇒ (AC)
2
=(6)
2
+(8)
2
⇒ (AC)
2
= 36+64
⇒ (AC)= \sqrt{100} $$ = 10 m
Time taken at the rate of 20 m/ min = distance/ speed
= 10/20 =
2
1
min or 30 sec
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