Rectangle ABCD is similar to rectangle WXYZ. If the area of rectangle ABCD is 90 square inches. AD is 10 inches,
and XY is 5 inches, what is the area of rectangle WXYZ? Round to the nearest integer.
a
24 square inches
b.
34 square inches
c
23 square inches
d.
45 square inches

The answer is option C: 23 square inches

Step-by-step explanation: The two rectangles are given as

ABCD with area of 90 and one side equals 10. That means the other side measures

Area = L x W

90 = 10 x W

90/10 = W

W = 9.

The second rectangle has a side measuring 5 inches and both rectangles have been described as similar. This means there is a common ratio between all sides of both figures.

If AB in rectangle 1 equals 10 inches, and XY in rectangle 2 equals 5 inches, the ratio of both rectangles is given as

Ratio = 10:5

Ratio = 2:1

Hence for rectangle 2, if line AB equals 9, then line WX equals

2/1 = 9/WX

By cross multiplication we now have

WX = 9/2

WX = 4.5

Therefore, the area of rectangle WXYZ is computed as

Area = L x W

Area = 5 x 4.5

Area = 22.5

Approximately to the nearest integer,

Area ≈ 23 square inches

a

b

d

step-by-step explanation:

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: