Question

El jardín de Lucia tiene forma de trapecio. Las bases miden 50 y 35 metros y la altura 22 metros.si por cada metro cuadrado planta dos rosales cuantos rosales tendrá en el jardín?

Answer 1

Lucia is able to plant 1,870 rose bushes in her garden.

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

`A=((B+b)h)/(2)`

Where
`B=50m`,
`b=35m` and
`h=22m`. Replacing these values, we have

`A=((50+35)22)/(2)=((85)22)/(2)=85(11)=935 \ m^(2)`

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

`n=935 \ m^(2) * (2 \ bushes)/(1 \ m^(2) ) =1,870 \ bushes`

Therefore, Lucia is able to plant 1,870 rose bushes in her garden.