Answer:
A(t) = 19 u²
Step-by-step explanation:
Area of a triangle is b*h/2 (base times height divided by 2)
The graph shows a right triangle which height is the segment EF which s parallel to vertical axis then its length could be determined by simple inspection looking at how many units it is (6)
For the base, we have to look at the projections over the y and x axis they are: over y = 2 and over x axis is 6
Then by Pitagoras theorem, we get
ED = √ (2)² + (6)² ⇒ ED = √40
ED = 2*√10 and
A(t) = (1/2)* 6*2*√10
A(t) = 6*√10 square units
A(t) = 18,97 u²
approximate to the nearest integer
A(t) = 19 u²