Answer:
C. [tex] 48 \, \textsf{m} ^2[/tex]
Step-by-step explanation:
To find the area of a trapezoid, we can use the formula:
[tex] \textsf{Area} = \dfrac{1}{2} \times \textsf{height} \times (\textsf{side}_1 + \textsf{side}_2) [/tex]
Given the dimensions provided:
- Side 1 = 15m
- Side 2 = 9m
- Height = 4m
Substitute these values into the formula:
[tex] \textsf{Area} = \dfrac{1}{2} \times 4 \times (15 + 9) [/tex]
[tex] \textsf{Area} = \dfrac{1}{2} \times 4 \times 24 [/tex]
[tex] \textsf{Area} = 2 \times 24 [/tex]
[tex] \textsf{Area} = 48 \, \textsf{square meters} [/tex]
Therefore, the area of the backyard is [tex] 48 \, \textsf{m} ^2[/tex].
