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nadezda [96]
3 years ago
9

Two square rooms have a total floor area of 89m2. One room is 3m longer each way than the other. Find the dimensions of the two

rooms. A. 5m square and 8m square B. 4m square and 6m square C. 5m square and 12m square D. 6m square and 8m square
Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

A

Step-by-step explanation:

Let the smaller room have an area of x^2

Let the larger room have an area of (x + 3)^2

(x+3) ^2 + x^2 = 89               Be careful not to make it 89^2.

x^2 + 6x + 9 + x^2 = 89        Expand the binomial squared

2x^2 + 6x + 9 - 89 = 0          Subtract 89 from both sides

2x^2 + 6x + 9 - 89 = 0          Combine

2x^2 + 6x - 90=0                  Divide by 2

x^2 + 3x - 45 = 0         This factors.

(x + 9)(x- 5) = 0

X + 9 gives nothing useful

x - 5 = 0

x = 5

x + 3 = 5+3 = 8

So the answer is A

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Step-by-step explanation:

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3 years ago
Antoinette solves the linear equation 3(x-3)+2x+9 = 2X+ 2(x-1) using the steps shown below.
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Answer:

Antoinette's error

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Step-by-step explanation:

We are given the following information in the question:

Antoinette solves the linear equation

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Antoinette made mistake in step 1 that is she did not distributed correctly.

If she would have distributed correctly, then she would have got the following solution:

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Substituting x = -1 in the given equation, we gwt:

3(-1-3)+2(-1)+9 = 2(-1)+ 2(-1-1)\\-12-2+9 = -2-4\\-6=-6\\\text{which is true}

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Answer:

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Step-by-step explanation:

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