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zhannawk [14.2K]
3 years ago
7

a rectangular sheet of metal is 250 cm wide and has a diagonal of 472cm. Find the length and the area of the sheet metal.

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Length of rectangular sheet = 400.35 cm

Area of sheet = 100087.5 cm²

Step-by-step explanation:

Given,

Width of rectangular sheet = 250 cm

Diagonal of rectangular sheet = 472 cm

Let,

x be the length of rectangular sheet.

A diagonal of rectangular, forms a right triangle where diagonal serves as hypotenuse.

Therefore;

a = x

b = 250

c = 472

Using pythagoras theorem;

a^2+b^2=c^2\\a^2+(250)^2=(472)^2\\a^2+62500=222784\\a^2=222784-62500\\a^2=160284\\

Taking square root on both sides

\sqrt{a^2}=\sqrt{160284}\\a=400.35

Length of rectangular sheet = 400.35 cm

Area of sheet = Length * Width

Area of sheet = 250*400.35

Area of sheet = 100087.5 cm²

Keywords: rectangle, area

Learn more about area at:

  • brainly.com/question/2115122
  • brainly.com/question/2116906

#LearnwithBrainly

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<h3>Answer:</h3>

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<h3>Explanation:</h3>

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___

Multiplying this expression for x by 4, we get

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___

Adding thee first equation to the second, you get ...

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_____

<em>Alternate approaches</em>

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By graphing, see attached.

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... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

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