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If a triangle and a rectangle have equal areas and equal altitude, then base of the triangle is equal to
A) base of the rectangle
B) twice the base of the rectangle
C) thrice the base of the rectangle
D) four times the base of the rectangle
Correct answer:
B) twice the base of the rectangle
Description for Correct answer:
Let h be the common height of triangle and rectangle.
If a and b be respectively the bases of triangle and rectangle, then by hypothesis
\( \Large \frac{1}{2}a \times h = b \times h\)
=> \( \Large \frac{1}{2}a = b \)
=> \( \Large a = 2b \)
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