Question

Write a simplified expression that represents the...
a. area of the large rectangle.
b. area of the small rectangle.
c. area of shaded region.

Answer 1

Answer:

See below

Step-by-step explanation:

a.

• Area of the large rectangle = (6 + x) (6 - x)

• ->Area of the large rectangle $=(6)^2-x^2$

• -> Area of the large rectangle $= 36-x^2$

b.

• Area of the small rectangle = (2 + x) (2 - x)

• ->Area of the small rectangle $=(2)^2-x^2$

• ->Area of the large rectangle $= 4-x^2$

c.

• Area of shaded region = Area of the large rectangle - Area of the small rectangle

• -> Area of shaded region $=( 36-x^2)-(4-x^2)$

• -> Area of shaded region = $=36-x^2-4+x^2$

• -> Area of shaded region $=32 \:units^2$