Polygon v has an area of 1 square unit. jun-seo drew a scaled version of polygon v using a scale factor of 7 and labeled it polygon w. what is the area of polygon w?

49

Step-by-step explanation:

Area of a rectangle is length, ll, times width, ww.

Area of Polygon V=lwV=lw

Now, we need to find the area of Polygon WW. Since Polygon WW was created with a scale factor of 77, we need to multiply each side length in Polygon VV by 77.

We need to multiply the new side lengths to find the new area:

\begin{aligned} A &= (l\times7)\times(w\times7) \\ \\ A&= l\times w\times7\times7 \\ \\ A&= lw \times {7}^2\\ \\ A&= lw \times {49} \end{aligned}

A

A

A

A

​

=(l×7)×(w×7)

=l×w×7×7

=lw×7

2

=lw×49

​

Area of Polygon W=lw\times49W=lw×49

Key idea

The area of a polygon created with a scale factor of xx is x^2x

2

times larger than the original polygon:

\text{scale factor}^2=\text{how many times larger area of scale copy is}scale factor

2

=how many times larger area of scale copy is

The area of Polygon WW is 4949 times the area of Polygon VV.

Area of Polygon V \times 49=V×49= Area of Polygon WW

1\times49=491×49=49

The area of Polygon WW is 4949 square units.

49 square units

Step-by-step explanation:

When the length of the sides of a figure are increased by a scale factor, the area is increased by the square of that scale factor.

Since the scale factor used is 7, this means the area is increased by a factor of 7² = 49.

Multiplying the area of polygon V by the scale factor, we have 1(49) = 49.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

im not sure

step-by-step explanation: