a lawn is in the shape of a trapeziod with a height of 60 ft and bases of 30 ft and 170 ft. how many bags of fertilizer must be purchased to cover the lawn if each bag covers 3200 sq. ft
b1 = base 1
b2 = base 2
A = [(b1 + b2) * h] / 2
A = [(30 + 170) * 60] / 2
A = 12,000 / 2
A = 6,000 square feet
Take it from there.
http://www.mathgoodies.com/lessons/vol1/area_trapezoid.html
To find the number of bags of fertilizer needed to cover the lawn, we first need to calculate the area of the lawn.
The formula to calculate the area of a trapezoid is A = (h/2) * (b1 + b2), where A is the area, h is the height, and b1 and b2 are the lengths of the bases.
Given:
Height (h) = 60 ft
Base1 (b1) = 30 ft
Base2 (b2) = 170 ft
Let's substitute these values into the formula and calculate the area:
A = (60/2) * (30 + 170)
A = (30) * (200)
A = 6000 sq. ft
Now, we know that each bag of fertilizer covers an area of 3200 sq. ft. To find the number of bags needed, we divide the total area of the lawn by the area covered by each bag:
Number of bags = Total area / Area covered by each bag
Number of bags = 6000 sq. ft / 3200 sq. ft ≈ 1.875 bags
Since we cannot have a fraction of a bag, we need to round up to the nearest whole number. Therefore, you would need to purchase 2 bags of fertilizer to cover the entire lawn.