Chapter 2. Chapter 2 Area of Shapes

Pre-Test Question:

Math and Graphing Review
true
true
You must read each slide, and complete any questions on the slide, in sequence.

Question

Determine the area of the shaded region labeled A in the figure below:

GP4jiI03g1v4ZvwdMDk+DnEAnGX7vMMuJS2I1rTkeq9NwxkGK3KUpMXk/aXTNnMJ07265ewzjJNMEGcXew6LauUj/sJ7T9QC
Correct! The area of region A is 5.
Sorry, the area of region A is 5. To determine the area, try dividing the region up into a rectangle and a triangle, and then calculate each area separately. The area of the rectangle is 4 and the area of the triangle is 1.

Video

Post-Test Questions:

Question 2.1

Determine the area of the shaded region labeled A in the figure below:

xIHSmOn1F64e0B/pY2SNgE98rYZMtMsVxF2B3T7rJNGZiDaTS1879LgFCwrKZNU/rjrhN7R6kQIJWUUmFrMSvp8iCjP35J8qIDvkFkFc/8M=
Correct! The area of region A is 300.
Sorry, the area of region A is 300. The area of triangle region A is ½ height times base, or 0.5 × 15× 40=300.

Question 2.2

Determine the area of the shaded region labeled A in the figure below:

aOZ0arNBjEiD/ZInBwDu/Hp48UDZNsSHR28Xfns7bLCo4W7i5LyDgUZ6uNPTy0Fz8EB+VaM/dpaZrW03lQVaCYVeEKf3d4If
Correct! The area of region A is 8.
Sorry, the area of region A is 8. To determine the area try dividing the region up into a rectangle and a triangle, then calculate each area separately. The area of the rectangle is 6 and the area of the triangle is 2.

Question 2.3

Determine the area of the shaded region labeled A in the figure below:

755GXVjs3tXFv+joBkzsABW3V4IiUN6iaIFD4uAx3OXlXNoBI8Y402TEwsaKtIObQK8k0wLvrVnh0IyGOaHP6NtjjkrGGdPx
Correct! The area of region A is 4.
Sorry, the area of region A is 4. The area of triangle region A is ½ height times base, or 0.5 × 2 × 4=4.

Question 2.4

Determine the area of the shaded region labeled A in the figure below:

GRGby7kIrl2qF0ge8rkZntercxj5PmEkLZTl9zihCH39LeUsjWYuOSkKiR3k1+hXNV/ihcmAhijYFv4cXgQhfPN5YkA=
Correct! The area of region A is 4.
Sorry, the area of region A is 4. The area of triangle region A is ½ height times base, or 0.5 × 2 × 4=4.

Question 2.5

Determine the area of the shaded region labeled A in the figure below:

PjPYyHBeSN5zF2v9BsQYxmFbPYQ0q5Wl7olE4sSDlJ1zvcU4nX1WZs9K8h9bXH9wgpmbHPi17TSCCzgjn7/Ux3G8HGJxec/Z8hLpro1zfDW8+YX1VsOmXQ==
Correct! The area of region A is 10,000.
Sorry, the area of region A is 10,000. The area of triangle region A is ½ height times base, or 0.5 × 50 × 400=10,000.