Respuesta :
Answer:
The answer to your question is: 30 in
Step-by-step explanation:
Data
1 piece
Width = 4 in
Length = 6 in
2 piece
Width = 6 inches
Proportions
4 : 6 :: 6 : x
x = (6 x 6) / 4
x = 9
Perimeter = 2(base) + 2(height)
= 2(9) + 2(6)
= 18 + 12
= 30 in
The Perimeter of the larger rectangular piece will be 30 inches.
What is perimeter ?
Perimeter is the sum of all sides of the given figure or shape.
Perimeter of rectangle = 2(Length + Width)
We have,
2 Similar Rectangular-Shaped Pieces,
Piece one have,
Width = 4 Inches And
Length = 6 Inches
Now,
Piece two have,
Width = 6 Inches And
Let, Length = x Inches
So,
We have similar rectangles,
Now,
Using similarity concept,
i.e. sides are in equal proportions,
i.e.
[tex]\frac{6}{x} =\frac{4}{6}[/tex]
⇒
[tex]x =\frac{6*6}{4}[/tex]
We get,
x = 9 inches,
i.e.
Length of second piece,
So,
Now,
Perimeter of second piece = 2(Length + Width)
= 2 ( 9 + 6) = 2 * 15
i.e.
Perimeter of second piece = 30 inches
Hence, we can say that the Perimeter of the larger rectangular piece will be 30 inches.
To know more about Perimeter click here
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