A basketball court is 94 feet by 50 feet. To sketch the court on paper a scale factor of 1 foot to 16 feet is applied. What is the AREA of the scaled copy of the basketball court?

A:18 23/64
B:19 1/5
C:313 1/3
D:4,700

Respuesta :

Based on the dimensions of the basketball court, we can calculate that the area of the scaled copy is 18 ²³/₆₄ feet².

Dimensions of scaled copy

Every 16 feet of the actual court is 1 foot on the scaled copy. The dimensions of the scaled copy are therefore:

= 94 / 16                                                           = 50 / 16

= 5.875 feet                                                     = 3.125 feet

Area of scaled copy

= Length x Width

= 5.875 x 3.125

= 18.359375

= 18 ²³/₆₄ feet²

In conclusion, the area is 18 ²³/₆₄ feet².

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