AndresElCapo8516 AndresElCapo8516
  • 04-06-2019
  • Mathematics
contestada

A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the area of the new rectangle?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 07-06-2019

ANSWER

[tex]882 \: {in}^{2} [/tex]

EXPLANATION

The area of the original rectangle is 72 in².

If the length and the width of the rectangle are changed by a scale factor of 3.5.

Then the area will change by

[tex]{3.5}^{2} = 12.25[/tex]

To get the area of the new rectangle is we multiply the area of the original rectangle by 12.25.

This implies that,the area of the new rectangle is

[tex]3.5 \times 72 = 882 \: {in}^{2} [/tex]

Therefore the area of the new rectangle is 882 square inches.

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