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One side of rectangular ground is 8m and its diagonal is 17m. Find the area of ground?
- a)150
- b)140
- c)130
- d)120
- e)None of the Above
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
One side of rectangular ground is 8m and its diagonal is 17m. Find the...
d = √(l² + b²)
17 = √(l² + 8²)
l² = 17² – 8² ⇒ l = 289 – 64 = 225
l = 15 Area = 15 * 8 = 120m²
17 = √(l² + 8²)
l² = 17² – 8² ⇒ l = 289 – 64 = 225
l = 15 Area = 15 * 8 = 120m²
Most Upvoted Answer
One side of rectangular ground is 8m and its diagonal is 17m. Find the...
To find the area of a rectangular ground, we need to know the length and width of the ground. In this case, we are given the length of one side and the diagonal of the rectangle.
Let's assume the width of the ground is 'x' meters.
We are given that one side of the ground is 8 meters. Since opposite sides of a rectangle are equal in length, the other side will also be 8 meters.
Using the Pythagorean theorem, we can find the width of the ground.
Pythagorean theorem: The square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
According to the theorem:
17^2 = 8^2 + x^2
289 = 64 + x^2
x^2 = 289 - 64
x^2 = 225
x = √225
x = 15
So, the width of the ground is 15 meters.
Now, we can calculate the area of the ground by multiplying the length and width.
Area = length × width
Area = 8 × 15
Area = 120 square meters
Therefore, the area of the ground is 120 square meters, which corresponds to option D.
Let's assume the width of the ground is 'x' meters.
We are given that one side of the ground is 8 meters. Since opposite sides of a rectangle are equal in length, the other side will also be 8 meters.
Using the Pythagorean theorem, we can find the width of the ground.
Pythagorean theorem: The square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
According to the theorem:
17^2 = 8^2 + x^2
289 = 64 + x^2
x^2 = 289 - 64
x^2 = 225
x = √225
x = 15
So, the width of the ground is 15 meters.
Now, we can calculate the area of the ground by multiplying the length and width.
Area = length × width
Area = 8 × 15
Area = 120 square meters
Therefore, the area of the ground is 120 square meters, which corresponds to option D.
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One side of rectangular ground is 8m and its diagonal is 17m. Find the area of ground?a)150b)140c)130d)120e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?
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