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molly wants her rectangular rooftop garden plot to have an area of 21 square feet. If she makes the width 5 feet, what must be the length? is this an example of direct variation or inverse variation?


A)105 ft; direct

B)4.2 ft;direct

C)4.2 ft; inverse

D)105 ft;inverse

Verified Answer :

nobillionaireNobley

Area = length x width
21 = length x 5
length = 21/5 = 4.2

The length is inversely proportional to the width because as the length increases the width reduces and vice-versa

Answer:

Option C.

Step-by-step explanation:

Molly wants her rectangular rooftop garden to have the area = 21 feet²

Width of the rectangular garden is = 5 feet

Let the length of the garden = l feet

Since we know the formula of "area of the garden = Length × width"

Length = \(\frac{\text{Area of the garden}}{\text{Width}}\)

This formula represents length of the garden ∝ \(\frac{1}{\text{Width}}\)

Length of the garden is inversely proportional to the width of the garden.

(Length increases with the decrease in width)

Now we plug in the values in the formula.

l = \(\frac{21}{5}\)

 = 4.2 feet

Option C. is the answer.

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