The perimeter of a rectangular garden is 38 m and its area is 60 m2.
What are the dimensions of the garden?
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Step-by-step explanation:
PERIMETER OF THE RECTANGLE = 38
2( L+B )= 38 m
L+B. = 38 /2
L+B = 19 M
let the length of the rectangular garden = L
BREADTH OF OF THE RECTANGLE = (19-L)
L* (19-L )= 60 M²
19L -L² = 60 M²
-19 L + L² = - 60 ( MULTIPLYING "-" BOTH SIDES)
L² - 19L +60 = 0
(L)²+ (-15-4)L +60= 0
L (L-15) -4 ( L-15 ) = 0
( L-15). (L-4) (middle term factor)
L = 15 0R L= 4
L = 15 M
BREADTH ( 19-L )= 4M
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