Answer:
Length = 34
Step-by-step explanation:
Perimeter of rectangle = a+a+b+b = 2(a+b)
Let a = length = 2b - 4
Let b = width
Therefore
(2b-4) + (2b-4) + b + b = 106 cm
Bracket off
2b-4+2b-4+b+b = 106cm
Collect like terms
2b+2b+b+b-4-4 = 106cm
6b-8 = 106
6b = 106+8
6b = 114
b = 114÷6
b = 19
To get a
2b - 4
2(19) - 4
38-4
= 34
Answer:
AB = 51
BC = 50
AC = 42
PQ = 42
QR = 42
PR = 59
Step-by-step explanation:
Perimeter of ∆ ABC = Perimeter of ∆ PQR
3x + 9 + 3x + 8 + 3x = 3x + 3x + 4x + 3
9x + 17 = 10x + 3
17 - 3 = 10x - 9x
14 = x
.: x = 14
AB = 3x +9 = 3×14+9 = 42+9 = 51
BC = 3x +8 = 3×14+8 = 42+8 = 50
AC = 3x = 3×14 = 42
PQ = 3x = 3×14 = 42
QR = 3x = 3×14 = 42
PR = 4x +3 = 4×14+3 = 56+3 = 59
Hence thirty two dollars , is the solution
