Answer: ( P - 10 )/12, (2x + 5)(4x + 1)
Step-by-step explanation:
The length of the rectangle = 4x + 1,
The breadth = 2x + 5
Formula for finding perimeter of a rectangle, = 2( L + B )
Now, substitute for L and B in the formula, open the formula and simplify,
= 2(4x + 1 + 2x + 5 )
= 2(6x + 5 )
= 12x + 10
Therefore, the perimeter (p)of the rectangle, = 12x + 10.
If P = 12x + 10
12x = P - 10
x = ( P - 10 )/12
Area of a rectangle = L x B
=( 4x + 1 )( 2x + 5)
We therefore open the brackets
(4x + 1)(2x + 5)= 4x X 2x + 4x X 5+ 1 X 2x + 1 X 5
= 8x² + 20x + 2x + 5
A = 8x² + 22x + 5
A = (2x + 5)(4x + 1)
