Question 129
A rectangular plot has a perimeter of 68m. The ratio of the side and the diagonal is 5 : 13. Find the area of the plot (in sq. m).
Solution
Given, the diagonal is 13x and the side is 5x.
Let the other side be b.
$$(13x)^2 = (5x)^2 + b^2$$
b = 12x
68 = 2 (12x + 5x)
x = 2m
Hence, the sides are 10m and 24m
Area = 240 sq. m
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