Dimensions 82414

The flag of Brazil has a yellow diamond on a green field with a blue circle inside. If we had a flag with dimensions of 70 cm x 50 cm, the rhombus would have a side 35 cm long and a height of 30 cm. Indicate with fractions in basic form what part of the flag is occupied by the color green.

Correct answer:

r =  7/10

Step-by-step explanation:

$$\begin{gathered} a=70\text{cm} \\ b=50\text{cm} \\ x=35\text{cm} \\ y=30\text{cm} \\ {S}_1=a\cdot b=70\cdot 50=3500{\text{cm}}^2 \\ {S}_2=x\cdot y=35\cdot 30=1050{\text{cm}}^2 \\ {S}_3=S_1-S_2=3500-1050=2450{\text{cm}}^2 \\ r=\frac{S_3}{S_1}=\frac{2450}{3500}=\frac{7}{10}=0.7 \end{gathered}$$

Try another example