The side length of the largest square Jacob could seed if he purchases 5 bags is 70.71feet.
The formula for the area of square is given by,
Area = (side)2 = s2
Where, s = length of the side of a square
Now according to the question we have been given that 1 bag will cover 1000 square feet of lawn.
And Jacob bought 5 of those bags. First we will find how many square feet of lawn can be covered by these 5 bags.
Therefore, 1bag = 1000 sq.ft
5 bag = 5*1000sq.ft
= 5000sq.ft
Thus 5 bags will cover 5000sq.ft of lawn which will be equal to the area of the lawn
That is, Area of the lawn = Area covered by the 5 bags.
Area = 5000sq.ft
Putting the value of area in equation (1) we get,
5000 = s2
Or, s2 = 5000
s = √5000
s = 70.71ft
Hence the side length of the square lawn will be 70.71ft.
Learn more about area of square here : https://brainly.in/question/48541960
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