Answer:
28 cm²
Step-by-step explanation:
The area of Δ BDF is the area of the rectangle subtract the area of the 3 white triangles.
Since the area of the rectangle = 80 cm² and
area = length × breadth, then
breadth = 80 ÷ 10 = 8 cm
Thus CE = EF = 8 cm and CD = DE = BC = 4 cm
Area of Δ DEF = 0.5 × 10 × 4 = 20 cm²
Area of Δ ABF = 0.5 × 8 × (10 - 4) = 0.5 × 8 × 6 = 24 cm²
Area of Δ BCD = 0.5 × 4 × 4 = 8 cm²
Thus
area of Δ BDF = 80 - (20 + 24 + 8) = 80 - 52 = 28 cm²
Answer:
Assuming the similarity is that BC scales to EF, answer is
D. 1.5BC
Step-by-step explanation:
Because the triangles are smilar, AB/BC = DE/EF
If AB = 2BC
then DE = 2EF
but also DE = 3BC
so 2EF = 3BC
EF = 1.5BC
I am pretty sure it is 0.95. This is because 0.5 is half of a whole. So, half of 1.9 is 0.95. :) I hope this helped.
Answer:
Step-by-step explanation:
subtract 3 from both sides
divide each term by 6
simplify
