Answer: The scale is 5/4
Step-by-step explanation:
To determine the scale factor, you have to locate which sides are similar to each other .
the side length with 20 is congruent to 16
15 is similar to 12 and 10 is similar to 8.
And to get from triangle A to triangle B of any side length, we need to multiply by a certain number which is the scale factor.
And to find that number we will divide the side length of any side in triangle A by the similar side to it in triangle B.
20/ 16 = 5/4
15/ 12 = 5 / 4
10 / 8 = 5/4
The length and width of the new scale drawing is 36 inches and 24 inches respectively.
The given parameters:
- <em>Original scale of the soccer field, 1 inch : 12 yards</em>
The original length and width of the soccer field is calculated as follows;
1 inch : 12 yards
- original width = 6 x 12 yards = 72 yards
- original length = 9 x 12 = 108 yards
For the new scale of 1 inch : 3 yards, the new length and width are represented as;
<em>the </em><em>new width</em><em>:</em>
<em>the </em><em>new length</em><em>:</em>
Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.
Learn more about scale drawing here:
You can use a calculator and times the number by the percentage as 0. etc
e.g. 35% of 100 = 100 times 0.35 = 35
Well it's 4 time the radius, so 4r
And it's 3 less than that, so
4r - 3 is the height