Question

HURRY
Andrew wants to build a square garden, and needs to determine how much area he has for planting. The perimeter of the garden is between 12 and 14 feet. What is the range of the possible areas?


A 3 ft2 and 4 ft2

B 9 ft2 and 12.25 ft2

C 12.25 ft2 and 14 ft2

D 14 ft2 and 16 ft2

Answer 1

Answer:

Option  B

Step-by-step explanation:

Let the Perimeter of Garden be X and the side of Garden be Y

⇒ 12 feet ≤ X ≤ 14 feet

or 12 feet ≤ 4×Y ≤ 14 feet

Dividing this equation by 4,

⇒ 3 ≤ Y ≤ 3.5

Now squaring the Above equation to get the area,

⇒ 9 feet² ≤ Y² ≤ 12.25 feet²

So, the range of possible areas will be between 9 feet² and 12.25 feet²

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