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Joan Has 2 Silimar Rectangular-Shaped Pieces That She Is Using For Her Quilt. One Has Width 4 Inches And Length 6 Inches And The Other Has A Width Of 6 Inches. What Is The Perimeter Of The Larger Rectangular Piece?

Respuesta :

joseaaronlara

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.

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