Since we are concerned with the area of the new recreation complex and are given with the scale factor, we square the given scale factor and multiply the answer with the original area.
new area = (600 yd²)(9²)
= 48,600 yd²
Thus, the new area is equal to 48,600 yd².
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1. 5m+3n=41
3m-6n=9 (multiplying the first equation by 3 and the second by 5), we get;
15m+9n=123
15m-30n= 45 (subtracting the two equations)
39n = 78
n = 2, and
to get m we substitute n with 2
3m = 9+6(2)
3m = 21
m = 7
Therefore, n=2 and m=7
2. 6g +8h=40
-6g +2h = -20(Adding the two equations to eliminate g)
10 h= 20
h =2
to get g we substitute h with two
6g= 40- 8(2)
= 24
g= 4
Therefore, g =4 and h =2
3. 9x +5y =35
2x + 5y =0 (subtracting the two equations to eliminate y)
7x =35
x= 5
To get y we substitute x with 5
5y=35-9(5)
5y = -10
y = -2
Therefore, x=5 and y=-2
