The diagram below shows an arrangement of flowers and the measurements that a gardener has taken.

a. Find the area devoted to each type of flower.

b. What percent of the entire garden is devoted to roses and zinnias?

c. If alyssum is planted outside of the petunias and the pattern shown in the diagram continues, how many square feet are devoted to alyssum?

Step-by-step explanation:

Just multiply the sides. For example, the roses take 8x4=32 feet. if we want to know the area of Zinnias, we multiply the sides 8x12 and remove the roses, which would be 8x12-32=96-32=60 for the Zinnias.

For a)

The roses take 8x4

Zinnias take 8x12 - roses

Snapdragons take 16x12 - roses - zinnias

Petunias take 16x20 - snapdragons - zinnias- roses

b) The entire area of the garden is 20x16=320 square feet

The area of the Zinnias(including roses) is 8x12 = 96 square feet

To get the percent, we divide the smaller number by the bigger number and multiply by 100 or in practice 96/320x100=30%

c) Let's see the progression here. The width progresses in the first rectangle by four 8 to 12, then again by four 12, 16 and again by four 16 to 20, which means that the next rectangle would have a width of 20+4=24. Doing the sale analysis for the height, we get that the increase is with 4 feet at a time or the new rectangle would have a width of 24 and height of 20, which means a total area of 480 feet. We have to subtract all other rectangles or the new area would be 480 - (20x16) = 160 square feet