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The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
A.9/16
B.3/4
C.4/3
D.16/9

The two square pyramids are similar The side length of the smaller pyramid is 34 the side length of the larger pyramidWhich fraction represents the ratio of the class=

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JcAlmighty
The answer is A.9/16.

The ratio of areas of two similar squares is the square of the ratios of their similar side lengths. Since the ratio of the smaller side length to the larger side length is 3/4, the ratio of areas of two similar squares is:
(3/4)² = 3²/4² = 9/16.
asuwafohjames

The fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid is 9/16. and th right option is A. 9/16.

What is area?

Area is the region or space occupied by an object.

To calculate the ratio of the area of the base of the smaller pyramid to the area of the base of the larger pyramid, we use the formual below.

Formula:

  • l²:L²............. Equation 1

Where:

  • l = Length of the base of the smaller pyramid
  • L = Length of the base of the larger pyramid
  • : = Ratio sign

From the diagram,

Gicen:

  • l = 20 m
  • l = 15 m

Substitute these values into equation 1

  • 15²:20²
  • 225:400
  • 9:16
  • 9/16

Hence, the fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid is 9/16. and th right option is A. 9/16.

Learn more about area here: https://brainly.com/question/21790804