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SVEN [57.7K]
3 years ago
8

Tom solved the problem a different way. First he found the total area of the floor, and then he multiplied by the height. Does T

om’s method work? Explain.

Mathematics
2 answers:
Anastasy [175]3 years ago
5 0
No.

Tom forgot about the area of the top/roof, the floor and roof are different dimensions/areas, making his method incomplete.

He needs to find area of Roof, Floor then times height.
hjlf3 years ago
5 0
No, he has to find the floor and roof before multiplying by the height.
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Find the product (3a4+4)2​
asambeis [7]

The result is

9

a

2

−

16

The reason is the following:

The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:

(

a

+

b

)

⋅

(

a

−

b

)

=

a

2

−

b

2

.

By applying this to our question, we obtain that:

(

3

a

−

4

)

⋅

(

3

a

+

4

)

=

(

3

a

)

2

−

(

4

)

2

=

9

a

2

−

16

.

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