The length around a rectangular mat is 21 m. If its length is 5 m 60 cm, what is its width?

The correct answer is: Final Answer:- ∴ Breadth of the given rectangle is 4.9 m.

Step-by-step solution:-
Length around a mat = Perimeter of the mat = 21 m ............................. (Equation i)
Now, Length = 5m 60 cm
∴ Length = 5m + 60 cm
∴ Length = 5m + 0.6 m (1m = 100 cm. ∴ 60 cm = 60/100 m = 0.6 m)
∴ Length = 5.6 m …........................................................................ (Equation ii)
Let the breadth of the given rectangle be x m.
Now, we know that-
Perimeter of the given rectangle = 2 (length + breadth)
∴ 21 = 2 (5.6 + x) .................................... (From Equations i & ii)
∴ 21 / 2 = 5.6 + x
∴ 10.5 = 5.6 + x
∴ 10.5 - 5.6 = x
∴ x = 4.9 m
Final Answer:-
∴ Breadth of the given rectangle is 4.9 m.
Note:-
Alternatively, we can say-
4.9 m = 4 m + 0.9 m
∴ 4.9 m = 4 m + 90 cm (1m = 100 cm. ∴ 0.9 m = 0.9 * 100 cm = 90 cm)
∴ 4.9 m = 4 m 90 cm
∴ Breadth of the given rectangle is 4 m 90 cm.