Question

Jacob is buying a bag of grass seed. The two-pound bag will cover 1,000 square feet of lawn Estimate the side length of the largest square Jacob could seed if he purchases 5 bags

Answer 1

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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