Answer:
Option B. [tex]20\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of a triangle is equal to
[tex]A=\frac{1}{2}bh[/tex]
we have
[tex]b=4\frac{2}{3}\ ft[/tex]
[tex]h=8\frac{4}{7}\ ft[/tex]
Convert mixed numbers to an improper fractions
[tex]b=4\frac{2}{3}\ ft=\frac{4*3+2}{3}=\frac{14}{3}\ ft[/tex]
[tex]h=8\frac{4}{7}\ ft=\frac{8*7+4}{7}=\frac{60}{7}\ ft[/tex]
substitute the values
[tex]A=\frac{1}{2}(\frac{14}{3})(\frac{60}{7})\\ \\A=\frac{14*60}{2*3*7}\\ \\A=\frac{840}{42} \\ \\A=20\ ft^{2}[/tex]
Answer: B. 20
Step-by-step explanation:
Hi to answer this question we have to apply the next formula:
Area of a triangle: base x height (altitude) x 1/2
Replacing with the values given:
A =4 2/3 x 8 4/7 x 1/2
A= (4x3+2)/3 x (8x7+4)/7 x 1/2
A = 14/3 x 60/7 x 1/2 = 840/42=20 square feet
So, the correct option is B.20
Feel free to ask for more if needed or if you did not understand something.
