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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