Answered

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A rectangle has an area of 18 square feet. A similar rectangle 1

has an area of 160 square feet. What is the ratio of the areas of these

similar rectangles?

Sagot :

MrRoyal

Answer:

[tex]Ratio = 9 :80[/tex]

Step-by-step explanation:

Given

[tex]A_1 = 18ft^2[/tex] --- Area of smaller rectangle

[tex]A_2 = 160ft^2[/tex] --- Area of bigger rectangle

Required

Determine the area of the areas.

The ratio is calculated by the dividing the areas of rectangles.

[tex]Ratio = \frac{A_1}{A_2}[/tex]

Substitute values for A2 and A1

[tex]Ratio = \frac{18ft^2}{160ft^2}[/tex]

[tex]Ratio = \frac{18}{160}[/tex]

Simplify the fraction

[tex]Ratio = \frac{9}{80}[/tex]

Represent as ratio

[tex]Ratio = 9 :80[/tex]

Hence, the ratio of the rectangles is 1 to 9

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