the perimeter of rectangular plot is 62 m and its area is 228 m 2 find dimension of plot
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2(L+B) = 62
⇒(L+B) = 31
⇒L = (31 -B)
also, L×B = 228
⇒(31-B)B = 228
⇒B²- 31B +228 =0
⇒B² - 12B - 19B +228 =0
⇒B(B-12) - 19(B-12) =0
⇒(B-12)(B-19)=0
∴taking B = 12 m and L = 19 m
as length is greater than breadth .
⇒(L+B) = 31
⇒L = (31 -B)
also, L×B = 228
⇒(31-B)B = 228
⇒B²- 31B +228 =0
⇒B² - 12B - 19B +228 =0
⇒B(B-12) - 19(B-12) =0
⇒(B-12)(B-19)=0
∴taking B = 12 m and L = 19 m
as length is greater than breadth .
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