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23 August, 05:04

A lawn has a perimeter of 300 ft and width of 60ft and a bag of grass seeds cover 270ft how many seeds are needed for the new lawn

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  1. 23 August, 05:06
    0
    Multiply the length by the width to find the area in square metres and then multiply that figure by 0.03 Kg to find out how much seed you'll need.
  2. 23 August, 05:13
    0
    20 bags of seed is needed for the new lawn

    Step-by-step explanation:

    To answer this question, first find the area of the lawn and divide the area calculated by the number of square feet per bag of seed.

    A lawn is assumed to have a rectangular shape, the area (A) of the lawn therefore is

    A = L x W

    Where: A = Area of lawn

    L = Length of lawn

    W = Width of lawn

    A = L x W

    L = ?

    W = 60 ft

    To find the length, use the formula for the perimeter of a rectangle since the lawn is assumed to a rectangular shape

    Perimeter (P) = 2 (L+W)

    P = 300 ft

    300 = 2 (L + 60) ft

    300 = 2L + 120

    Subtract 120 from both sides

    300 - 120 = 2L + 120 - 120

    180 = 2L

    Divide both sides of the equation by the coefficient of L which is 2

    180/2 = 2L/2

    90 = L

    L = 90 ft

    That is, the length of the lawn is 90 ft

    To calculate the area of the lawn

    A = L x W

    L = 90 ft

    W = 60 ft

    A = 90 ft x 60 ft

    A = 5400 square feet

    This means that the area of the lawn is 5,400 square feet

    To get the number of bags of seed that will cover the lawn, divide the area of the lawn by the number square feet that a bag will cover.

    Number of bags of seed = Total Area of lawn/Number square feet per bag.

    Total Area = 5400 square feet

    Number square

    feet per bag = 270

    Number of bags = 5400/270

    = 20 bags of grass seed

    20 bags of seed is needed for the new lawn
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