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hichkok12 [17]
3 years ago
11

Question 2 options:

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0
7736.4uhshshszszehzeehe
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What expression represents the width of the rectangle
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<h3><u>Answer:</u></h3>

  • <u>x </u><u>-</u><u> </u><u>8</u>

<h3><u>Solution</u><u>:</u></h3>

We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.

  • Also we are given the area of the rectangle as x² - 15x + 56 square meters .

We have to find the expression for another side of the rectangle i.e it's width

We will use the formula of area of rectangle to find the expression :

  • <u>A</u><u>rea </u><u>=</u><u> </u><u>length </u><u>×</u><u> </u><u>width</u>

Therefore,

‎ㅤ‎ㅤ➝ A = l × w

‎ㅤ‎ㅤ➝ x² - 15x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w

‎ㅤ‎ㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w

‎ㅤ‎ㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )

‎ㅤ‎ㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )

‎ㅤ‎ㅤ➝ <u>w = ( x - 8 )</u>

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