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Answers
hey mate, here is your answer.
Step-by-step explanation:
Answer:
Perimeter of rectangle is 136 cm.
Step-by-step explanation:
Given :-
Area of rectangle and area of square are equal.
Perimeter of square is 64 cm.
Breadth of rectangle is 4 cm.
To find :-
Perimeter of rectangle.
Solution :-
• First we will find side of square using perimeter.
• Area of square and area of rectangle are equal. So, then we will find length of rectangle using area of rectangle.
• Then, Finally we will find required perimeter.
________________________________
Perimeter of square = 4 × side
\longrightarrow⟶ 64 = 4 × side
\longrightarrow⟶ 64/4 = side
\longrightarrow⟶ side = 16
Side of square is 16 cm
Area of square = Side × Side
\longrightarrow⟶ Area = 16 × 16
\longrightarrow⟶ Area = 256
Area of square is 256 cm².
It is given that,
Area of rectangle is equal to area of square.
So, Area of rectangle is 256 cm².
Area of rectangle = length × breadth
\longrightarrow⟶ 256 = Length × 4
\longrightarrow⟶ 256/4 = Length
\longrightarrow⟶ Length = 64
Length of rectangle is 64 cm.
Now,
Perimeter of rectangle = 2(Length + Breadth)
\longrightarrow⟶ Perimeter = 2 × (64 + 4)
\longrightarrow⟶ Perimeter = 128 + 8
\longrightarrow⟶ Perimeter = 136
Therefore,
Perimeter of rectangle is 136 cm.