Answer:
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Answer:
<h2>22ft</h2>
Step-by-step explanation:
Step one:
given that the orientation of the garden is a triangular shape(it has three sides)
the perimeter is given as=46ft
one side y=11ft
the second side z= 13ft
let the third side be xft
Step two:
the expression for the perimeter = z+y+x
46=11+13+x
46=24+x
solve for x
x=46-24
x=22ft
Therefore the third side is 22ft long
Answer:
Number of ducks = 37
Number of pigs = 18
Step-by-step explanation:
Let,
x be the number of ducks
y be the number of pigs
According to given statement;
x+y=55 Eqn 1
2x+4y=146 Eqn 2 (As ducks will have 2 legs and pigs will have 4)
Multiplying Eqn 1 by 2
2(x+y=55)
2x+2y=110 Eqn 3
Subtracting Eqn 3 from Eqn 2
(2x+4y)-(2x+2y)=146-110
2x+4y-2x-2y=36
2y=36
Dividing both sides by 2
![\frac{2y}{2}=\frac{36}{2}\\y=18](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B36%7D%7B2%7D%5C%5Cy%3D18)
Putting y=18 in Eqn 1
x+18=55
x = 55-18
x = 37
Hence,
Number of ducks = 37
Number of pigs = 18