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dimaraw [331]
3 years ago
8

A rectangular carpet has a perimeter of 274 inches. The length of the carpet is 95 inches more than the width. What are the dime

nsions of the​ carpet?
Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer:

Length: 116

Width: 21

Step-by-step explanation:

Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.

Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.

So,

2x + 2x + 190 = 274.

Simplify this and you get:

4x= 274 - 190

4x = 84

x= 21

So, the width is 21. This means that the length is 21 + 95.

21 + 95 = 116

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A small pizza has an 8-in. Diameter a large pizza has a 15-in. Diameter. The pizzeria charges the same price per square inch for
vlabodo [156]

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

Step-by-step explanation:

The given is,

                A small pizza has an 8-inches in diameter

                A large pizza has a 15-inches in Diameter

                The small pizza cost $7

Step:1

                Area of smaller pizza,

                                        Area, A_{S} = \pi  r^{2}...................................(1)

                 Where, r - Radius of small pizza

                 From given, r=\frac{d}{2}

                                         = \frac{8}{2}

                                       r = 4 inches

                  Equation (1),

                                    A_{S} = \pi  4^{2}

                                          =(3.14)(16)                             ( ∵ \pi=3.14 )

                                          = 50.24 Square inches

Step:2

              Area of smaller pizza,

                                        Area, A_{L} = \pi  r^{2}...................................(1)

                 Where, r - Radius of small pizza

                 From given, r=\frac{d}{2}

                                         = \frac{15}{2}

                                       r = 7.5 inches

                  Equation (1),

                                    A_{S} = \pi  7.5^{2}

                                          =(3.14)(56.25)                             ( ∵ \pi=3.14 )

                                          = 176.625 Square inches

Step:3

            Cost of pizza per square meter,

                                                = \frac{Cost of small pizza}{Area of small pizza}

                                                =\frac{7}{50.24}

                                                = $ 0.1393 per square meter

                Cost of Larger pizza = Area of Larger pizza × Cost per square meter

                                                = (176.625)(0.139331)

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Result:

          The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

         

                                             

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