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laiz [17]
3 years ago
6

The Haynes family is building an addition to their house that includes a new

Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer:

<u>Part A</u>

 A_{t}=22(12+w)

Applying Distributive property: A_{t}=264+22w

<u>Part B</u>

A_{t}=660\ ft^2

Step-by-step explanation:

<em><u> Attached is the model that belongs to this exercise (The model was missing)</u></em>

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

<u>Part A</u>

Notice that the dimensions of the new bathroom are:

l=22\ ft\\w=12\ ft

We do not know the width of the new bathroom, but we know that both rooms will have the same length. Knowing this, we can write an expression for the total area of both rooms by using the Distributive Property:

A_{t}=22(12+w)

Applying Distributive property:

 A_{t}=264+22w

<u>Part B</u>

If the width of the bedroom is 18 feet, you need to substitute this value into the expression A_{t}=264+22w in order to find the total square footage of the two rooms:

A_{t}=264+22w\\\\A_{t}=660\ ft^2

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Answer:

C. (3x2 - 10) (x - 2)

Step-by-step explanation:

3x^2 - 16x +20

Step 1: Sum = - 16x

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Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6

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Step 4: Factorise the equation in step 3, like so;

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To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)

If the bracket is opened properly, you will get 3x^2 - 16x + 20

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