Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36 m. Find the dimensions of the garden.

Let the rectangle’s length be x + 4 and its width be x.

Given: Half of the rectangle’s perimeter = 36m

½ x perimeter of rectangle = 36 m

Perimeter of rectangle = 2 x 36 m

2 (l + b) = 72

(x + x + 4) = 36

2x = 32

x = 16

Length = x + 4 = 16 + 4 = 20

Breadth = x = 16

Properties of Rectangle

• It has 4 sides and 4 vertices
• Each vertex has an angle of 90 degrees
• Opposite sides are equal and parallel
• Diagonals bisect each other
• Perimeter is the sum of its length and width Twice
• Area is the product of its length and width
• It is a parallelogram with four right angles.
• Sum of all interior angles equals 360 degrees

Summary:

Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36 m. Find the dimensions of the garden.

A rectangular garden with a length that is 4 metres longer than its width has a perimeter of 36 metres. The rectangle is 20 and 16 metres in length and width, respectively. A rectangle is a four-sided polygon whose interior angles are all 90 degrees.