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Question
The area of a rectangular field is 48 m2 and one of its sides is 6 m. How long will a lady take to cross the field diagonally at the rate of 20 m/minute?
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Solution
Given, the area of a rectangular field is 48 m2 and one side of the rectangle = 6 m
∴ Area of a rectangle = Length × Breadth
⇒ 48 = 6 × Breadth
⇒ Breadth = 8 m
In ΔACD, ∠D = 90°
So, it is a right-angled triangle.
By using Pythagoras theorem, we have
(AC)2 = (AD)2 + (DC)2
⇒ (AC)2 = (6)2 + (8)2
⇒ (AC)2 = 36 + 64
⇒ `AC = sqrt(100)`
∴ AC = 10 m
Time taken by lady to cross the field diagonally at rate of 20 m/min = `"Distance"/"Speed"`
= `10/20`
= `1/2` min or 30 sec
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