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An office space in New York City measures 48 feet by 56 feet. If it sells $565 per square foot, what is the total cost of the office space?

Respuesta :

The answer is $1,518,720. You Have to multiply the two measurements, which is 2688 sqare feet. You then have to multiply that by the cost per square foot, & thats your answer.   :)

Total cost of the office space is $ 1,518,720

Further explanation

Given:

Office space 48x56 feet

Price per square foot $565

Total cost of the office space?

Step by step explanation

First we are going to calculate the total office space, using the area model the result will be

[tex]=\boxed {48 \times56\ }\\ =\boxed {(40+8) \times(50+6)\ }\\\\ =\boxed {(40 \times50)+(40 \times6)+(8 \times50)+(8 \times6)\ }\\ =\boxed {(2000+240+400+48)\ }\\ =\boxed {2688\ }[/tex]

Total the office space is 2688² feet

To get the total cost, we are going to multiply the total space with the cost per square foot

[tex]\boxed {2688 \times565\ }[/tex]

to solve this big number we are going to use the standard algorithm or you can use the area model too.

1st, multiply 2688 to 5

2688

 565  x

13440

2nd step, multiply 2688 to 6, adding one 0 in the back

2688

  565  x

161280

3rd step, multiply 2688 to 5, adding two 0 in the back

2688

 565  x

1344000

Then adding each result

13440+161280+1344000= 1,518,720

so, [tex]=\boxed {2688 \times565\ }\\ =\boxed {1518720\ }[/tex]

Learn more

Standard algorithm model brainly.com/question/1150215

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Keywords: multiplication, standard algorithm, area model, three digits multiplication, additional,office space

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