Can u Help me answer this tricky problem?

The perimeter of a triangle rose garden is 42 yards. The 1st side is 5 yards less than the 2nd %26amp; the 3rd side is 2 yards than the first. What is the lenght of each side of the garden?



Thanks!

Can u Help me answer this tricky problem?
We will assume that the second side has lenght = x yards

so, length of the first side(5 yards less than the 2nd) = x-5

length of the third side (2yards less than 1st) = (x-5)-2 = x-7



the perimeter(sum of all sides is given to be 42 yards



so,



x+x-5+x-7 = 42

3x-12 = 42

3x = 42 +12

3x = 54

so,

x=54/3 = 18 yards



First side = 18 yards

Second side = 18-5 = 13 yards

Third side = 18-7 = 11 yards



PLEASE NOTE : you've typed that "3rd side is 2 yards than the first"

i've assumed it to be "...2yards less than the first.."

if it is " 2 yards greater", then the length of 3rd side will be x-3..u can continue from there in the same method
Reply:x + x + 5 + x + 2 = 42

3x = 35

x = 11 2/3

x + 5 = 16 2/3

x + 2 = 13 2/3

or

x+x+5+x-2=42

3x = 39

x = 13

x + 5 = 18

x - 2 = 11
Reply:Perimeter (P) = 42

Side 1 (A) = Second side (B) -5

Side 3 (C) = A+ 2



Perimeter = A + B + C

42 = (B-5) + B + (A+2)

2B -5 + A + 2

2B+A-3

add 3 to both sides

45 = 2B + A

substitute for A (B-5)

45 = 2B + B-5

50 =3B, B= 50/3

A= 50/3 -5 = 50/3-15/3 = 35/3

C= A+2, C= [50/3 -5] +2 = 50/3-3 = 50/3 -9/3

41/3

check

P = 35/3 + 50/3 + 41/3 = 126/3 = 42
Reply:you have x-5+x+x-5-2=42



This is because the first side will represent x(the second side) and -5 because it is 5 less than the side equaling x. x-5-2 represents side 3 who's length is 2 less than x-5.



Now we solve:

x-5+x+x-5-2=42

lets combine like terms:

3x-12=42

then add 12 to each side:

3x=30

then divide each side by 3:

x=10



Your answer is x=10 hope this helped!
Reply:Let the sides be: x, x+5, x-2 yds.

x +( x+5) +( x-2) = 42 yds= perimeter

3x +3 = 42

3x =42 -3 =39

x =39/3 =13; x+5=18; x-2 =11
Reply:x1 + x2 + x3 = 42

x1-5 = x2

x3 + 2 = x1 // i assume that x1 is 2 less than side 3, if not than -2



solve this and you have the sides ( x1,x2 and x3
Reply:x + y + z = 42 .........(1)

y - x = 5 or y = x + 5

x - z = 2 or z = x -2



replace the values of y and z in (1)



Thus, x + x+5 + x-2 + 42



x=13

thus,

y=18 and z = 11
Reply:18 13 11



To solve it you take 2 from 42 and then take (5 +2) from the 40. This is 33. Divide by 3 and add 2 to one and 7 to the other.
Reply:Hi,



Its just addition of algebric terms.



Let the length of side1 be x

Then the length of side2 is x+5

And the length of side3 is x-2



Given the perimeter of the triangle is 42 yards.



=%26gt; x + x + 5 + x - 2 = 42

=%26gt; 3x + 3 = 42

=%26gt; 3x = 39

=%26gt; x = 13



Length of side1 is x = 13

Length of side2 is x + 5 = 13 + 5 = 18

Length of side3 is x - 2 = 13 - 2 = 11



Their sum ie., 13 + 18 + 11 = 42



Peace out.
Reply:3rd side is 2 yards more or less than the first...?!

that's importantgive full details
Reply:The length of first side is 6

The length of second side is 11

the length of third side is 4