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guajiro [1.7K]
3 years ago
9

Find the length and width of a similar rectangular screen if the length is 5 meters more than 6 times its width, and the viewabl

e area is 5,550 square meters.
Mathematics
1 answer:
Sliva [168]3 years ago
7 0

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is x

So, length is given by 6x+5

The area is given by l\times b

Put values of length and width

\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\

On solving the quadratic equation, we get x=30

Length is 6\times 30+5=185\ m

Width is x=30\ m

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The area of a square bedroom is 144 square feet. what is the length of one wall?
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The answer is:  "12 feet" .
________________________________
Note:  In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width. 

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given:  A = s² = 144 ft² ;

Solve for the positive value of "s" .
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  →  s² = 144 ft² ;  Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

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The answer is:  12 ft.
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Given a triangle MTN, prove that
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Answer:

<em></em>\angle m + \angle t + \angle n = 180<em></em>

<em></em>

Step-by-step explanation:

Required

Show that:

\angle m + \angle t + \angle n = 180^o

To make the proof easier, I've added a screenshot of the triangle.

We make use of alternate angles to complete the proof.

In the attached triangle, the two angles beside \angle m are alternate to \angle t and \angle n

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<em></em>\angle m + \angle t + \angle n = 180<em> -- proved</em>

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