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Elena-2011 [213]
3 years ago
12

A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha

n the original room. The area of the new room will be 144 square feet greater than the area of the original room. What are the dimensions of the original room?
Mathematics
1 answer:
gogolik [260]3 years ago
8 0

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

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MissTica

Answer/Step-by-step explanation:

Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.

6x² - 4x - 5

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The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.

The sign is very important, it defines the value of the term.

We can choose to solve the problem in another way shown below:

(6x² - 4x - 5) - (3x² - 7x + 2)

Distributive the negative sign in the second polynomial

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An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.

<h3>How to convert kilograms to pounds</h3>

Herein we have an application of <em>unit</em> conversions between <em>weight</em> units, from kilograms to pounds. Unit conversions follow this <em>direct proportional</em> formula:

y = k · x

Where:

x - Weight in kilograms

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If we know that x = 75 kg and k = 2.208 lb/kg, then the weight of the adult in pounds is:

y = (2.208 lb/kg) · (75 kg)

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An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.

To learn more on weight units: brainly.com/question/18762697

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