the length of a rectangle is 3cm more than its breadth. if the perimeter of a rectangle is 46cm, find the dimensions of the rectangle
(it would be nice if u wrote it on a paper)
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Answer :-
The dimensions of the rectangle is 13cm*10cm.
Step-by-step explanation
To Find :-
- The dimensions of rectangle.
- [Length and breadth]
★ Solution
Given that,
The length of rectangle is 3cm more than breadth of rectangle.
The perimeter of rectangle is 46cm.
Assumption
Let us assume the length and breadth of rectangle as (3 + x)cm and (x)cm.
F I G U R E :-
- Refer the attachment.
As we know that,
Perimeter of rectangle = 2(l + b),
Where,
→ l = length
→ b = breadth.
Therefore, According the question,
→ 2(l + b) = Perimeter
→ 2(3 + x + x) = 46
→ 3 + x + x = 46/2
→ 3 + x + x = 23
→ 3 + 2x = 23
→ 2x = 23 - 3
→ 2x = 20
→ x = 20/2
→ x = 10
The value of x is 10
____________________________
Now, The length and breadth :-
We assumed the length of rectangle as (3x) and breadth of rectangle as (x). Therefore.
- Length = 3 + x = 3 + 10 = 13cm
- Breadth = x = 10cm
Hence,
Length = 13cm ; Breadth = 10cm.
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