The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased

Question

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The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased

by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2). determine the lengths of the outside edges of the garden. write your answer in
simplest form.

Mathematics

1 answer:

Allisa [31] · Answer 1 · 2023-09-28T01:34:15+03:00

The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

<h3>What is the scale factor?</h3>

In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.

Given that:-

The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)

The length and width of the outside edge will be:-

The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-

Length = 3 ( 2x+4 ) = 6x + 12

Width = 3 ( 3x+2 ) = 9x + 6

Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

To know more bout scale factors follow

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