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A rectangular balcony is 1 inch wide and 1.75 inches long. If the actual length of the balcony is 7 feet, what is the perimeter

Respuesta :

The question is incomplete, complete question is given below.

On the blue print for a house a rectangular balcony is 1 inch wide and 1.75 inches long . if the actual length of the balcony is 7 feet what is the perimeter of the balcony?

Answer:

The perimeter of the balcony is 22 feet.

Step-by-step explanation:

Given,

Actual length = 7 feet

Solution,

In the blue print , length of balcony is 1.75 inches.

The actual length of balcony = 7 feet.

Here we use the unitary method to find out the actual measurement.

[tex]\since\ 1.75\ inches = 7\ feet\\\therefore1\ inch = \frac{7}{1.75} = 4\ feet[/tex]

Thus the scale is 1 inch = 4 feet.

On the blue print , the width of the balcony is 1 inch .

So,  the actual width = 4 feet

Now,

[tex]Perimeter\ of\ rectangle =2(length+width)[/tex]  

On substituting the values, we get;

So, the perimeter of the balcony =[tex]2(7+4)[/tex]

                                                      =[tex]2\times11[/tex]

                                                      =[tex]22\ feet[/tex]

Thus the perimeter of the balcony is 22 feet.