Maths-
General
Easy
Question
Given the area of a square, factor it to find the side length.
Area = ![36 x squared plus 120 x plus 100](data:image/png;base64,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)
Hint:
Using the formula area = side2. find the side of the square by factoring the area .
The correct answer is: 6x + 10 is the side length of the square.
Ans:- 6x+10 is the side length of the square.
Given , A = ![36 x squared plus 120 x plus 100](data:image/png;base64,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)
Take out common factor 4 we get ![4 open parentheses 9 x squared plus 30 x plus 25 close parentheses](data:image/png;base64,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)
Write ![9 x squared text as end text left parenthesis 3 x right parenthesis squared comma 30 x text as end text 2 left parenthesis 3 x right parenthesis left parenthesis 5 right parenthesis text and end text 25 text as end text 5 squared text we get end text straight A equals 4 open square brackets left parenthesis 3 x right parenthesis squared plus 2 left parenthesis 3 x right parenthesis left parenthesis 5 right parenthesis plus 5 squared close square brackets](data:image/png;base64,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)
Applying ![a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared text formula here end text a equals 3 x space semicolon space b equals 5](data:image/png;base64,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)
We get ![A equals 4 left parenthesis 3 x plus 5 right parenthesis squared](data:image/png;base64,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)
But, area of square A = ![left parenthesis text side end text right parenthesis squared](data:image/png;base64,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)
![4 left parenthesis 3 x plus 5 right parenthesis squared equals left parenthesis text side end text right parenthesis squared not stretchy rightwards double arrow text side end text equals 2 left parenthesis 3 x plus 5 right parenthesis](data:image/png;base64,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)
∴ length of side is 6x+10 .
∴ length of side is 6x+10 .
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![2 x squared minus 28 x plus c](data:image/png;base64,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)
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Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![3 x squared plus 24 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![3 x squared plus 24 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Write the factored form of the given expression.
![3 x squared plus 18 x plus 27](data:image/png;base64,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)
Write the factored form of the given expression.
![3 x squared plus 18 x plus 27](data:image/png;base64,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)
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4 , 1/2 , 1/4 , …
Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4 , 1/2 , 1/4 , …
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![6 x squared minus 36 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![6 x squared minus 36 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Make and test a conjecture about the sum of two even numbers
Make and test a conjecture about the sum of two even numbers
Maths-General
Maths-
Write the factored form of the given expression.
![4 x squared minus 56 x plus 196](data:image/png;base64,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)
Write the factored form of the given expression.
![4 x squared minus 56 x plus 196](data:image/png;base64,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)
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared minus 10 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared minus 10 x plus c](data:image/png;base64,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)
Maths-General