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One side of rectangular field is 15m and one of the diagonal is 17m. Find the area of the field
- a)120cm2
- b)80cm2
- c)50cm2
- d)160cm2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
One side of rectangular field is 15m and one of the diagonal is 17m. F...
Area = 15 x 8 = 120 m2
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
One side of rectangular field is 15m and one of the diagonal is 17m. F...
To find the area of the field, we need to determine the length of the other side of the rectangle.
Let's assume the other side of the rectangle is 'x' meters.
We know that the length of one side is 15 meters. Therefore, the length of the other side is also 15 meters.
We also know that one of the diagonals of the rectangle is 17 meters.
Using the Pythagorean theorem, we can find the length of the other diagonal:
(diagonal)^2 = (side1)^2 + (side2)^2
17^2 = 15^2 + x^2
289 = 225 + x^2
x^2 = 289 - 225
x^2 = 64
Taking the square root of both sides, we get:
x = 8
So, the other side of the rectangle is 8 meters.
Now, we can calculate the area of the rectangle:
Area = length x width
Area = 15 x 8
Area = 120 square meters
Therefore, the correct answer is option 'A' - 120 cm^2.
Let's assume the other side of the rectangle is 'x' meters.
We know that the length of one side is 15 meters. Therefore, the length of the other side is also 15 meters.
We also know that one of the diagonals of the rectangle is 17 meters.
Using the Pythagorean theorem, we can find the length of the other diagonal:
(diagonal)^2 = (side1)^2 + (side2)^2
17^2 = 15^2 + x^2
289 = 225 + x^2
x^2 = 289 - 225
x^2 = 64
Taking the square root of both sides, we get:
x = 8
So, the other side of the rectangle is 8 meters.
Now, we can calculate the area of the rectangle:
Area = length x width
Area = 15 x 8
Area = 120 square meters
Therefore, the correct answer is option 'A' - 120 cm^2.
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One side of rectangular field is 15m and one of the diagonal is 17m. Find the area of the fielda)120cm2 b)80cm2c)50cm2d)160cm2Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about One side of rectangular field is 15m and one of the diagonal is 17m. Find the area of the fielda)120cm2 b)80cm2c)50cm2d)160cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One side of rectangular field is 15m and one of the diagonal is 17m. Find the area of the fielda)120cm2 b)80cm2c)50cm2d)160cm2Correct answer is option 'A'. Can you explain this answer?.
One side of rectangular field is 15m and one of the diagonal is 17m. Find the area of the fielda)120cm2 b)80cm2c)50cm2d)160cm2Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about One side of rectangular field is 15m and one of the diagonal is 17m. Find the area of the fielda)120cm2 b)80cm2c)50cm2d)160cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One side of rectangular field is 15m and one of the diagonal is 17m. Find the area of the fielda)120cm2 b)80cm2c)50cm2d)160cm2Correct answer is option 'A'. Can you explain this answer?.
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