3. The breadth of a rectangular garden is 3 m less than the length of
the garden. There is an isosceles triangular garden whose base is
same as the breadth of a rectangular garden and its altitude is 12
m. If the area of the rectangular garden is 4 m? more than the
area of the triangular garden, then find the length and breadth of
the rectangular garden.
Answers
Answered by
4
Answer:
Let The Length And Breadth of the garden be X and Y respectively
Then,
X-3=Y
Y=Base Of Isosceles Triangle
Height Of Triangle=12m
Area Of Rectangular Garden = X*Y
Area Of Isosceles Triangle= 1/2*Y*12
Step-by-step explanation:
ar of Rectangular Garden = X(X-3)
X^2 - 3x ........(1)
ar of triangle = Y*6
(X-3)6
6x - 18 ..........(2)
ACT,
Ar Of Rectangular Garden = 4 + Ar Of Triangle
X^2 - 3x = 4 + 6x - 18
X^2 - 3x = 6x - 14
X^2 - 9x + 14 = 0
X^2 - 7x - 2x + 14 = 0
X (X-7) - 2 (X-7) = 0
X = 7 Or X = 2
Therefore
If X = 7
Then Y = 4
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