It would cost $ 3,584 to carpet the floor.
Firstly, we have to calculate the area to be covered by the carpet by multiplying the 16 feet by 14 feet. However, we are going to use area model to solve the multiplication. (please refer to the attachment below)
Therefore we have:
(16 x 14)
= (10 + 6) x (10 + 4)
= (6 x 4) + (10 x 4) + (6 x 10) + (10 x 10)
= 24 + 40 + 60 + 100
= 224
The area the carpet would cover is 224 feet.
Secondly, we have to calculate the total cost to cover the area also using the area model
Therefore, we have:
= 224 x 16
= 3584.
Therefore, it would cost $3,584 to carpet the floor.
Notably, area model is a rectangular diagram used for solving multiplication and division problems.
Therefore, we have
Total area = 16 x 14
= 244
Recall the carpet cost $16 a square foot, therefore we have:
= 224 x 16
= 3584
thus, the carpet cost 3,584 to cover the whole floor
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