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The height of a triangle is 60% bigger than the height of a rectangle.

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Carcass
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The height of a triangle is 60% bigger than the height of a rectangle. [#permalink] New post   06 Dec 2021, 03:14
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The height of a triangle is 60% bigger than the height of a rectangle. The base of the triangle is 30% bigger than the base of the rectangle.

Quantity A
Quantity B
the area of the triangle
the area of the rectangle



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Re: The height of a triangle is 60% bigger than the height of a rectangle. [#permalink] New post   06 Dec 2021, 07:25
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Carcass wrote:
The height of a triangle is 60% bigger than the height of a rectangle. The base of the triangle is 30% bigger than the base of the rectangle.

Quantity A
Quantity B
the area of the triangle
the area of the rectangle



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation


The height of a triangle is 60% bigger than the height of a rectangle.
Let b = the length of the rectangle's base
So, 1.6b = the length of the triangle's base

The base of the triangle is 30% bigger than the base of the rectangle
Let h = the rectangle's height
So, 1.3h = the triangle's height

We get:
QUANTITY A: Area of triangle = (1/2)(base)(height) = (1/2)(1.6b)(1.3h)= 1.04bh
QUANTITY B: Area of rectangle = bh

Since 1.04bh > bh, the correct answer is A
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Re: The height of a triangle is 60% bigger than the height of a rectangle. [#permalink] New post   13 Dec 2021, 23:58
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Re: The height of a triangle is 60% bigger than the height of a rectangle. [#permalink]
13 Dec 2021, 23:58
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