Can someone assist me on this problem please!
1 answer:
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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:
Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112
