Figures A and b are similar. Figure A has an area of 18 square feet. Figure b has an area of 98 square feet and one of the sides lengths is 14 feet find the corresponding side length

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akposevictor akposevictor · Answer 1 · 2021-05-26T02:36:07+02:00

Answer:

6 ft

Step-by-step explanation:

The ratio of the square of the sides of two similar figures = the ratio of their area

Let x represent the missing side corresponding side length

Therefore,

Area of figure B/area of figure A = square of side length of figure B/square of the side length of figure A

Thus:

98/18 = 14²/x²

98/18 = 196/x²

Cross multiply

98*x² = 196*18

98x² = 3,528

Divide both sides by 98

x² = 3,528/98

x² = 36

x = √36

x = 6

Therefore, missing corresponding side length = 6 ft

abidemiokin abidemiokin · Answer 2 · 2022-01-28T11:27:23+01:00

The corresponding side length is 2.57 feet

Given that figures A and b are, hence the ratio of the area to the length is equal to a constant as shown:

Substitute the given parameters into the formula to have:

A = 98 square feet

L = 14 square feet

a 18 square feet

[tex]\frac{98}{14} = \frac{18}{l}\\98l=252\\l = 2.57 feet[/tex]

Hence the corresponding side length is 2.57 feet

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