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jeyben [28]
3 years ago
5

The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, write an expression to

represent the length of the rectangle. Draw a picture to guide you.

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

The expression for the length of the rectangle is 2x + 4

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, then the expression for the length of the rectangle would be

Length = Area/ width

= (14x + 28)/7

The numerator has a common factor of 7. Therefore, if we factorize 7 out, it becomes

7(2x + 4)/7

Length = 2x + 4

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2

x

−

5

−

2

x

(Subtract 2x from both sides)

−

x

−

4

=

−

5

−

x

−

4

+

4

=

−

5

+

4

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−

x

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−

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x

−

1

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−

1

−

1

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−

(

2

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)

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−

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−

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−

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5

3

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+

4

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3

x

3

=

9

3

(Divide both sides by 3)

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7 0
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