A rectangle has an area of 420m2. One of the sides is 5m in length. Work out the perimeter of the rectangle.
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Answer:
Step-by-step explanation:
Given :-
A rectangle has an area of 420m²
One of the sides is 5m in length.
To find:-
Find the perimeter of the rectangle.
Solution:-
Length of the rectangle (l)=5m
Area of the rectangle(A)=420m²
Let the breadth of the rectangle be 'b' m
Area of the rectangle =lb sq.units
=>A=5×b=5b sq.m
According to the problem
Area of the rectangle =420m²
=>5b=420
=>b=420/5
=>b=84 m
Breadth=84 m
Now,
Perimeter of the rectangle =2(l+b) units
=>P=2(5+84) m
=>P=2(89) m
=>P=178 m
Perimeter =178 m
Answer:-
Perimeter of the rectangle =178 m
Used formulae:-
If length and breadth of the rectangle are "l" and "b"units then
(1) Area of the rectangle=lb sq.units
(2)Perimeter of the rectangle=2(l+b) units