Answer: The total money invested in the field will be $1,623.80
Step-by-step explanation:
step 1
Find the dimensions of the field
Let
x -----> the length of the field
y -----> the width of the field
p=2(x+y)
p(4.80)=1,584
p=330m
we know that
The perimeter of the field is equal to
so
330=2(x+y)----> equation A
x=4y-10 ------> equation B
substitute equation B in equation A and solve for y
330=2(4y-10+y)
165=(5y-10)
5y=165+10
y+35
Find the value of x
x=4(35)-10+130
therefore
The length of the field is 130 meters and the width of the field is 35 meters
step 2
Find the area of the field
The area of the field is
A=xy
substitute
A=(130)(35)=4,550m2
step 3
Find the number of bags of seed
Divide the area by 460
4,550/460=9.89 bags
Round up to the nearest whole number
9.89 bags=10 bags
step 4
Find the cost of the seed
(10 )(3.98)=$19.8
step 5
Find the total money invested in the field
1,584+$39.8=$1,623.80
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