Find the area of the figure.
4 ft
3 ft
Bft
3 ft
3.ft
2 ft
2 ft

9514 1404 393

  32 ft^2

Step-by-step explanation:

The area can be figured several ways. Here are two of them.

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Add components

The figure can be divided into two smaller rectangles, (b) and (d) in the attached drawing. The area of each is the product of its dimensions.

  Area b = (4 ft)(3 ft) = 12 ft^2

  Area d = (10 ft)(2 ft) = 20 ft^2

Area of the figure is Area b + Area d = 12 ft^2 + 20 ft^2 = 32 ft^2.

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Subtract white space

The figure is bounded by an overall rectangle that is 10 ft wide and 5 ft high. The area of that rectangle is

  Area a+b+c+d = (10 ft)(5 ft) = 50 ft^2

The area of whitespace 'a' is ...

  Area a = (3 ft)(3 ft) = 9 ft^2

Area c has the same dimensions, so the same area. The area of the figure is the area of the bounding rectangle less the area of the two corner white spaces (a) and (c).

Area of the figure is ...

  Area a+b+c+d -Area a -Area c = 50 ft^2 -9 ft^2 -9 ft^2 = 32 ft^2.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

first one because it can't have a fraction in it

step-by-step explanation: