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Vesna [10]
3 years ago
8

The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?

Mathematics
1 answer:
tester [92]3 years ago
4 0
<h2><u>AnswEr :</u> </h2>

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

\sf \:  {6x}^{2}  - 9x - 15 \\  \\  \leadsto \:  \sf \:  3\bigg( {2x}^{2}  - 3x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg( {2x}^{2}  - 5x + 2x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)

Length of the rectangle is 2x - 5

Thus,

\leadsto \:  \sf \: (2x - 5)(3x + 3)

<h3>The breadth of the rectangle is 3x + 3 </h3>
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