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?

Respuesta :

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 ,):

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

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

[tex]\frac{12.9}{5.5}=2.35\approx2[/tex]

Answer: 2 packages