Problema Solution

Sunny hill garden center sells lawn grass seeds for $2.25 a pound. It takes 1 pound of grass seed for every 150 square feet. A lawn is shaped like a trapezoid with bases of 27 and 31 feet, and the perpendicular distance between the bases is 18 feet. How much will it cost to seed this lawn?

Answer provided by our tutors

first lets find the area of the trapezoid


A = (1/2)(a + b)h


a = 27 ft

b = 31 ft

h = 18 ft


A = (1/2)(27 + 31)18


A = 522 square feet


let x = lbs seed needed for 522 square feet


1 : 150 = x : 522


by solving we find


x = 3.48 lbs


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since 1 lbs of seed costs $2.25 the cost of 3.45 lbs of seed is: 3.45*2.25 = $7.7625


it will cost $7.7625 to seed the lawn.