Find area of rectangle; length 4x+3 and x+6y. Breath 4x-y and 3x+1
since when does "and" mean multiply?
To find the area of the rectangle, we need to multiply the length by the breadth.
Length = 4x+3 and x+6y
Breadth = 4x-y and 3x+1
Area = Length x Breadth
Area = (4x+3)(x+6y)(4x-y)(3x+1)
We can simplify this expression by multiplying the two pairs of brackets using the FOIL method:
Area = (16x^2 - 4xy + 12x + 3x + 18xy + 13)(3x+1)
Area = (16x^2 + 15x + 13)(3x+1)
Now, we can use the distributive property to expand this expression:
Area = 48x^3 + 16x^2 + 45x^2 + 15x + 39x + 13
Area = 48x^3 + 61x^2 + 54x + 13
Therefore, the area of the rectangle is 48x^3 + 61x^2 + 54x + 13.