The first two pieces are the same, let each of those equal x, so you have x + x = 2x
The 3rd piece is the sum of the first two + 4, so this would be 2x + 4
Now you have 2x + 2x + 4 = 100 cm
Combine like terms:
4x +4 = 100
Subtract 4 from both sides
4x = 96
Divide both sides by 4
X = 24
First piece is 24 cm
Second piece is 24 cm
Third piece is 52 cm
2 x 1/6 = 2/6 which can be reduced to 1/3
4 x 3/8 = 1 and 4/8 which can again be reduced to 1 and 1/2
problem 2 - 3/4
problem 3 - 2 (whole number)
Use ax^2 + bx + c = 0
ac = -8
b = 2
The factors are 4 and -2.
Plug them into the equation:
x^2 + 4x - 2x - 8
Then factorise it:
x ( x + 4) - 2 (x + 4)
so m = 4
(x + 4)^2
Rectangle Formula: a = lw (Area = Length x Width)
Trapezium: A= a+b/2h (Area = Area + Base / 2 x h)
I hope this helps. :)
