Width of rectangle BD: Use tan = opposite/adjecent to get BD Which means… Tan(60) = BD/7 7√3 = BD
Height of rectangle BF: Since the two triangles are similar (due to the fact we know there’s a rectangle between them), we can use the similar triangle method to get BF. Which means… If BD -> AF is by dividing by (7√3)/6 Therefore CD -> BF is 7 divided by (7√3)/6 as well Therefore BF = 2√3
Perimeter of BDEF: Basically BF + FE + ED + DB Which is… 2√3 + 2√3 + 7√3 + 7√3 = 18√3 cm
Area of BDEF: Basically BF x BD Which is… 2√3 x 7√3 = 42 cm^2
I hope this helps! I haven’t double checked my answer so I’m not fully sure if this is correct, but I know the method is definitely correct.
To find… Width of rectangle BD: Use tan = opposite/adjecent to get BD Which means… Tan(60) = BD/7 7√3 = BD Height of rectangle BF: Since the two triangles are similar (due to the fact we know there’s a rectangle between them), we can use the similar triangle method to get BF. Which means… If BD -> AF is by dividing by (7√3)/6 Therefore CD -> BF is 7 divided by (7√3)/6 as well Therefore BF = 2√3 Perimeter of BDEF: Basically BF + FE + ED + DB Which is… 2√3 + 2√3 + 7√3 + 7√3 = 18√3 cm Area of BDEF: Basically BF x BD Which is… 2√3 x 7√3 = 42 cm^2 I hope this helps! I haven’t double checked my answer so I’m not fully sure if this is correct, but I know the method is definitely correct.
Omg thank you so much ! It was right 🙂 , also to find AF why did you divide by 6? Tysmmmm
Omg thank you so much ! It was right 🙂 , also to find AF why did you divide by 6? Tysmmmm
Triangle ABF and BCD are similar triangles - this concept is widely explored online (e.g. YouTube)! You can also use ratios to help you solve this problem.
AF : BD 6 : 7√3 Is also equal to… 1 : (7√3)/6
Hope this diagram of ratios makes this look clearer.