A rectangular field has a length of x metres. The width of the field is (2x-5) metres.
Show that the perimeter of the field is (6x-10) metres.

The perimeter of a shape is the length of all the sides added together. In this problem, the length of the rectangle is x and the width is (2x-5). With the information given, we want to show that it equals or is equivalent to (6x-10), which is supposed to represent the perimeter of the rectangle.

Before I write my equation I what to make sure you understand that there are of course two side lengths of this rectangle and two widths. That being said, the equation would look like this:

2x + 2(2x-5) = 6x-10

(both side lengths) + (both widths) = perimeter

I'll show you how you can simplify this equation to show that the perimeter of the field is 6x-10 :

2x + 2(2x-5) = 6x-10

(first step would be to distribute the 2 into 2x-5)

2x + 4x-10 = 6x-10

(add the x's on the left side to simplify)

6x-10 = 6x-10

Well well, what do we have here :). We ended up with the same expression on each side of the equal sign. We totally know that they're equivalent, in fact they're the same.

(I honestly really hope this helps. I confused myself a little thinking a lot about this problem. Please let me know if you run into any issues with my answer. I'm pretty sure I'm accurate on the work I showed. I also wasn't able to view your PDF sadly :( )

50.6

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have