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. $(A=\frac{1}{2}h(B+b))$

Answer 1

Hi,

• Lawn area:

$A=\frac{base_{1} +base_{2} }{2} *h\\\\A=(base_{1} +base_{2} ) *h *\frac{1}{2} \\\\A=(70ft + 130ft) * 50ft *\frac{1}{2} \\\\A=5000ft^{2}$

• 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.