Let Sketch the region R under the graph of f on the interval [0, 2] and find its exact area using geometry.

A) 8 sq units;
B) 8 sq units;
C) 10 sq units;
D) 10 sq units;

Question

Let  ​ Sketch the region R under the graph of f on the interval [0, 2] and find its exact area using geometry.
​
A) ​ 8 sq units; ​ 
B) ​ 8 sq units; ​ 
C) ​ 10 sq units; ​ 
D) ​ 10 sq units; ​

Quizplus · Accepted Answer

The region R is a trapezoid with height 1 and bases of length 2 and 4. Therefore, its area is (1/2)(2+4)(1) = 3 units squared. The only choice that matches this exact area is D, so it is the best choice.

Let ​ Sketch the Region R Under the Graph

Let Sketch the Region R Under the Graph