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The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?
I. The base of the triangle is 40 cm.
II. The height of the triangle is 50 cm.
I. The base of the triangle is 40 cm.
II. The height of the triangle is 50 cm.
- a)I alone sufficient while II alone not sufficient to answer
- b)II alone sufficient while I alone not sufficient to answer
- c)Either I or II alone sufficient to answer
- d)Both I and II are not sufficient to answer
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The area of a rectangle is equal to the area of right-angles triangle....
Given: Area of rectangle
= Area of a right-angle triangle.
⇒ l x b = ½ x B x H
I gives, B = 40 cm.
II gives, H = 50 cm.
Thus, to find l, we need b also, which is not given.
∴ Given data is not sufficient to give the answer.
∴ Correct answer is (d).
= Area of a right-angle triangle.
⇒ l x b = ½ x B x H
I gives, B = 40 cm.
II gives, H = 50 cm.
Thus, to find l, we need b also, which is not given.
∴ Given data is not sufficient to give the answer.
∴ Correct answer is (d).
Most Upvoted Answer
The area of a rectangle is equal to the area of right-angles triangle....
Analysis:
Given that the area of a rectangle is equal to the area of a right-angled triangle, we need to find the length of the rectangle. Let's analyze the information provided in each statement.
Statement I:
- The base of the triangle is 40 cm.
Statement II:
- The height of the triangle is 50 cm.
Explanation:
- Both statements provide information about the dimensions of the right-angled triangle, but they do not provide enough information to determine the dimensions of the rectangle.
- The area of a rectangle is calculated by multiplying its length and width, while the area of a right-angled triangle is calculated by multiplying its base and height and dividing by 2.
- Without knowing the relationship between the rectangle and the triangle, we cannot determine the length of the rectangle.
Therefore, both statements together are not sufficient to answer the question. Hence, the correct answer is option D - Both I and II are not sufficient to answer.
Given that the area of a rectangle is equal to the area of a right-angled triangle, we need to find the length of the rectangle. Let's analyze the information provided in each statement.
Statement I:
- The base of the triangle is 40 cm.
Statement II:
- The height of the triangle is 50 cm.
Explanation:
- Both statements provide information about the dimensions of the right-angled triangle, but they do not provide enough information to determine the dimensions of the rectangle.
- The area of a rectangle is calculated by multiplying its length and width, while the area of a right-angled triangle is calculated by multiplying its base and height and dividing by 2.
- Without knowing the relationship between the rectangle and the triangle, we cannot determine the length of the rectangle.
Therefore, both statements together are not sufficient to answer the question. Hence, the correct answer is option D - Both I and II are not sufficient to answer.
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The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?I. The base of the triangle is 40 cm.II. The height of the triangle is 50 cm.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'D'. Can you explain this answer?
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