The length of a rectangle is 4x+1 and the width is 2x+5. Write an expression and simplify it in terms of x: whats the perimeter of the rectangle and whats the area of the rectangle

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)