Answer:
length: 11 cm and a breadth: 7 cm.
Explanation:
Let's denote the width of the rectangle by w. Then, according to the problem statement, the length of the rectangle is 4 cm more than the width so the length can be expressed as w + 4.
The formula gives the perimeter of a rectangle:
perimeter = 2 × (length + width)
Substituting the expressions for length and width in terms of w, we have:
36 = 2 × ((w + 4)+w)
Simplifying and solving for w, we have:
36 = 4w + 8
4w = 28
w = 7
Therefore, the width of the rectangle is 7 cm, and the length is 4 cm more than the width, which gives us a length of:
w + 4 = 7 + 4 = 11
So, the dimensions of the rectangle are a length of 11 cm and a breadth of 7 cm.