The length of a recatangular garden is three feet more than four times the width. Find the perimeter and area of the garden.

The perimeter is (6+10b) and the area of the garden is (3b+4b²).

Step-by-step explanation:

Let l be the length and b be the width of the rectangle.

According to the question,

The length of a rectangular garden is three feet more than four times the width i.e.

l = 3+4b

The perimeter of a rectangle is given by :

P = 2(l+b)

Substitute all the values,

P = 2(3+4b+b)

P = 2(3+5b)

P = 6+10b

The area of a rectangle is given by :

A = lb

Substitute all the values,

A = (3+4b)b

A = 3b+4b²

So, the perimeter is (6+10b) and the area of the garden is (3b+4b²).