Question

Theresa’s flower bed is in the shape of a trapezoid. One base is 3.2 yards, the other base is 2.8 yards and the height is 4.3 yards. A single packet of flower seeds covers 5.5 square yards. What is the least number of packets Theresa would need to plant flowers in her flower bed?

Answer 1

Data:

• One base, ,( ,b1 ,): ,3.2 yards

,

• Other base (, b2 ,):, 2.8 yards

,

• Height ( ,h ,): ,4.3 yards

,

• Packet of flower seeds ( ,P ,),: 5.5 square yards

Procedure:

0. Finding the area of the trapezoid ( ,At ,):

`A_t=(1)/(2)\cdot(b_1+b_2)\cdot h`
`\begin{gathered} A_t=(1)/(2)\cdot(3.2_{}+2.8_{})\cdot4.3=(1)/(2)\cdot(6_{})\cdot4.3=(1)/(2)\cdot25.8=12.9 \\ A_t=12.9 \end{gathered}`

2. Finding the least number of packets Theresa would need to plant flowers in her flower bed:

`(12.9)/(5.5)=2.35\approx2`

Answer: 2 packages