Answer:
Step-by-step explanation:
We know that Lucia's garden has a trapezoid form, where its bases are 50 and 35 meters each and its height is 22 meters.
The area of a trapezoid is defined as
[tex]A=\frac{(B+b)h}{2}[/tex]
Where [tex]B=50m[/tex], [tex]b=35m[/tex] and [tex]h=22m[/tex]. Replacing these values, we have
[tex]A=\frac{(50+35)22}{2}=\frac{(85)22}{2}=85(11)=935 \ m^{2}[/tex]
Therefore, the area of the garden is 935 square meters.
Now, if Lucia plants two rose bushes per each square meter, then 935 square meters would be equivalent to
[tex]n=935 \ m^{2} \times \frac{2 \ bushes}{1 \ m^{2} } =1,870 \ bushes[/tex]
Therefore, Lucia is able to plant 1,870 rose bushes in her garden.
