The ratio of length and breadth of a rectangle is 2:3. If its length is 4 cm, what
will be its breadth? Also, find the perimeter of the rectangle?
Answers
Step-by-step explanation:
Breadth = 4/2 * 3 = 6 cm
Perimeter = 2( 6 + 4)cm = 2(10cm) = 20cm
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Given :-
Ratio of length and breadth of a rectangle = 2 : 3
Length of the rectangle = 4 cm
To Find :-
The breadth of the rectangle.
The perimeter of the rectangle.
Analysis :-
Firstly, we've to find the breadth of the rectangle and in order to find that we've to make an equation accordingly by considering the breadth as a variable.
Then get the value of the variable accordingly.
Next we've to find the perimeter of the rectangle by substituting the values we got in it's respective formula.
Solution :-
We know that,
- l = Length
- b = Breadth
- p = Perimeter
Let the breadth be 'x'.
Given that,
Ratio = 2 : 3
Length (l) = 4 cm
According to the question,
2/4 = 4/x
By transposing,
x = 3/2 × 4
x = 3 × 2
x = 6
Therefore, the breadth of the rectangle is 6 cm.
By the formula,
Given that,
Length (l) = 6 cm
Breadth (b) = 4 cm
Substituting their values,
Perimeter = 2(6 + 4)
Perimeter = 2(10)
Perimeter = 20 cm
Therefore, the perimeter of the rectangle is 20 cm.