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Elis [28]
3 years ago
6

The width of a rectangle is 1units less than the length. The area of the rectangle is 42 units

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

Step-by-step explanation:

w=l-1

∵A=l×w

∴A=l×(l-1)

⇒42=l²-l

⇒l²-l-42=0 (After subtracting 42 from both sides)

Two factors of 42 that add to give negative 1 :-7+6

∴ (l-7)(l+6)=0

∴ l=7 or l=-6

but remember that length is a scalar quantity, hence l≠6 but l=7.

I hope this helped you solve this math problem and made you better understand

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A wide-screen tv has an aspect ratio of 16:9. Find the length of a diagonal on the wide-screen tv screen that has the same heigh
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Answer:

The length of the diagonal of the TV screen is 51.40.

Step-by-step explanation:

Given:

Aspect ration of Screen = 16:9

Also The Width (w) from exercise 4 is = 25.2

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Solution first we will find the Length (l) of the TV screen

Now we know that;

\frac{l}{w} =\frac{16}{9}

Substituting the value of width 'w' we get;

\frac{l}{25.2} =\frac{16}{9}\\\\l= 25.2 \times \frac{16}{9} = 44.8

Hence Length (l) =44.8

Now we know that;

Diagonal of TV screen is equal to Square root of sum of square of Length (l) and width (w).

framing in equation form we get;

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Hence The length of the diagonal of the TV screen is 51.40.

5 0
3 years ago
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Sliva [168]

Answer:

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Answer:

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