A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d are whole numbers. Find an expression for the perimeter of the piece of fabric. Then find the perimeter when x=2.

Answers

Answer 1

Answer: $A=(cx+d)^2=c^2x^2+2cdx+d^2\n\nc^2x^2+2xcd+d^2=16x^2+40x+25\n\Downarrow\nc^2=16;\ 2cd=40;\ d^2=25\n\Downarrow\nc=√(16);\ cd=20;\ d=√(25)\n\Downarrow\n\boxed{c=4\ and\ d=5}\n\nThe\ length\ of\ side:cx+d=\boxed{4x+5}\n\nThe\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\n\nFor\ x=2:\n16\cdot2+20=32+20=\boxed{52}$

Answer 2

Answer:

Final answer:

The expression for the perimeter of the fabric is P = 16x+20. When x=2, the perimeter is 52.

Explanation:

To find the expression for the perimeter of the piece of fabric, we need to determine the length of each side of the fabric. The given expression for the area of the fabric is 16x^2+40x+25. We can factor this expression as (4x+5)^2. Since a square has all its sides equal, the length of each side of the fabric is 4x+5.

The perimeter of a square is given by the formula P = 4s, where s is the length of a side. Therefore, the expression for the perimeter of the fabric is P = 4(4x+5) = 16x+20.

To find the perimeter when x=2, we substitute x=2 into the expression for the perimeter: P = 16(2)+20 = 32+20 = 52.

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Answers

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Answers

5(-2) + y = 10
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Answer:

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Step-by-step explanation:

5x+y=10 can't be solved without one of the values but with given the value of x, we can substitute the equation...

-----> 5(-2)+y=10

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Answers

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Answers

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