Question

PLZ HELPpppP! A lawn is in the shape of a trapezoid with a height of 50 feet and bases of 70 feet and 130 feet. How many bags of fertilizer must be purchased to cover the lawn if each bag covers 3000 square​ feet? Remember that only whole bags of fertilizer can be purchased.
`(A=(1)/(2)h(B+b))`

Answer 1

Hi,

• Lawn area:

`A=(base_(1) +base_(2) )/(2) *h\\\\A=(base_(1) +base_(2) ) *h *(1)/(2) \\\\A=(70ft + 130ft) * 50ft *(1)/(2) \\\\A=5000ft^(2)`

• how many bags of fertilizer we need?

each bag covers 3000 ft²

`N_(number of bags) = 5000ft^(2) / 3000ft^(2) \\\\N_(number of bags) = 1.6`

We need to purchase two bags fertilizer, but will use one and a half of them.

Have a good day.