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

By Ritesh|Updated : November 4th, 2022

Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36 m. The length and breadth of the rectangle are 20 and 16 m. Now we have to calculate the garden's dimensions.

garden's dimensions

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.

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