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Mathematics

1 answer:

Musya8 [376]2 years ago

5 0

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I guess every superhero need his theme music I'm living' in that 21st century
Doing something mean to it
Do it better than anybody you ever seen do it
Screams from the haters, got a nice ring to it
I guess every superhero need his theme music I'm living' in that 21st century
Doing something mean to it
Do it better than anybody you ever seen do it
Screams from the haters, got a nice ring to it
I guess every superhero need his theme music I'm living' in that 21st century
Doing something mean to it
Do it better than anybody you ever seen do it
Screams from the haters, got a nice ring to it
I guess every superhero need his theme music I'm living' in that 21st century
Doing something mean to it
Do it better than anybody you ever seen do it
Screams from the haters, got a nice ring to it
I guess every superhero need his theme music I'm living' in that 21st century
Doing something mean to it
Do it better than anybody you ever seen do it
Screams from the haters, got a nice ring to it
I guess every superhero need his theme music I'm living' in that 21st century
Doing something mean to it
Do it better than anybody you ever seen do it
Screams from the haters, got a nice ring to it
I guess every superhero need his theme music I'm living' in that 21st century
Doing something mean to it
Do it better than anybody you ever seen do it
Screams from the haters, got a nice ring to it
I guess every superhero need his theme music

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be: