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2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 square CM the sides of the squares are?
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2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 s...
Given Information:
- Side of first square = 7 cm
- Side of second square = p + 5 cm
- Sum of the squares = 625 cm²
Let's solve the problem step by step:
Step 1: Express the sides of the squares as variables
Let the side of the first square be x cm and the side of the second square be y cm.
Given that x = 7 cm and y = p + 5 cm.
Step 2: Set up the equation
According to the given information, the sum of the squares is 625 cm².
Therefore, we can write the equation as: x² + y² = 625
Substitute the values of x and y into the equation:
(7)² + (p + 5)² = 625
49 + p² + 10p + 25 = 625
p² + 10p + 74 = 625
Step 3: Solve for p
Rearranging the equation:
p² + 10p - 551 = 0
(p + 29)(p - 19) = 0
p = -29 or p = 19
Step 4: Determine the sides of the squares
Using p = 19,
Side of the first square = 7 cm
Side of the second square = 19 + 5 = 24 cm
Therefore, the sides of the squares are:
First square: 7 cm
Second square: 24 cm
Conclusion:
The sides of the squares are 7 cm and 24 cm respectively.
- Side of first square = 7 cm
- Side of second square = p + 5 cm
- Sum of the squares = 625 cm²
Let's solve the problem step by step:
Step 1: Express the sides of the squares as variables
Let the side of the first square be x cm and the side of the second square be y cm.
Given that x = 7 cm and y = p + 5 cm.
Step 2: Set up the equation
According to the given information, the sum of the squares is 625 cm².
Therefore, we can write the equation as: x² + y² = 625
Substitute the values of x and y into the equation:
(7)² + (p + 5)² = 625
49 + p² + 10p + 25 = 625
p² + 10p + 74 = 625
Step 3: Solve for p
Rearranging the equation:
p² + 10p - 551 = 0
(p + 29)(p - 19) = 0
p = -29 or p = 19
Step 4: Determine the sides of the squares
Using p = 19,
Side of the first square = 7 cm
Side of the second square = 19 + 5 = 24 cm
Therefore, the sides of the squares are:
First square: 7 cm
Second square: 24 cm
Conclusion:
The sides of the squares are 7 cm and 24 cm respectively.
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2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 square CM the sides of the squares are?
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2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 square CM the sides of the squares are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 square CM the sides of the squares are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 square CM the sides of the squares are?.
2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 square CM the sides of the squares are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 square CM the sides of the squares are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 square have sides 7 PCM and p + 5 cm the sum of the squares is 625 square CM the sides of the squares are?.
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