Q 1 : Find sum of all natural number n such that n + 19n + 65 is perfect square.
Q .2 : In a rectangular garden with length 72 meters and width 30 meters, a road of fixed
width is constructed as shown in the figure. Area of remaining portion of the garden is half that of original
rectangular garden. Find width of the road in meters.
Answers
Given : a rectangular garden with length 72 meters and width 30 meters, a road of fixed width is constructed . Area of remaining portion of the garden is half that of original rectangular garden
To find : width of the road in meters.
Solution:
Area of rectangle = 72 * 50
=> Area of rectangle = 3600 m²
Area of remaining portion of the garden is half that of original rectangular garden
=> Area of remaining portion of the garden = 3600/2 = 1800 m²
Area of Road = Area of Garden - Area of remaining portion of the garden
=> Area of Road = 3600 - 1800
=> Area of Road = 1800 m²
Area of road = 72 * width = 1800
=> width = 25 m
width of the road in meters. = 25 m
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