Question

Use the following formula for the area of a rectangle, A = l * w, to answer each part below.

a) Find the area of the larger rectangle.
b) Find the area of the smaller rectangle.
c) Find the area of the shaded region by subtracting the area of the smaller rectangle from the area of the larger rectangle.
a) Larger rectangle: A = 20 * 15
b) Smaller rectangle: A = 12 * 8
c) Shaded region: A = (20 * 15) - (12 * 8)
d) None of the above

Answer 1

To find the area of the larger rectangle, multiply the length and width. To find the area of the smaller rectangle, multiply the length and width. The area of the shaded region is found by subtracting the area of the smaller rectangle from the area of the larger rectangle. The ratio comparing the two areas is 25:8.

Step-by-step explanation:

To find the area of a rectangle, we use the formula A = l * w, where A represents the area, l represents the length, and w represents the width of the rectangle.

a) To find the area of the larger rectangle, we substitute the given values into the formula. A = 20 * 15 = 300 square units.

b) To find the area of the smaller rectangle, we substitute the given values into the formula. A = 12 * 8 = 96 square units.

c) To find the area of the shaded region, we subtract the area of the smaller rectangle from the area of the larger rectangle. Shaded Region = 300 - 96 = 204 square units.

To compare the two areas, we can write a ratio comparing the area of the larger rectangle to the area of the smaller rectangle. The ratio is 300:96, which simplifies to 25:8.