A circle with radius of 5 is dilated by a scale factor of 2. What is the area of the image?
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Answer:
4 meters
Step-by-step explanation:
Assuming that the garden is a rectangular garden, its area would be length ×width.
Let the length be L meters and the width be W meters.
Area= L ×W
48= LW -----(1)
Given that the length is 3 times the width,
L= 3W -----(2)
Substitute (2) into (1):
48= 3W(W)
3W²= 48
Divide both sides by 3:
W²= 48 ÷3
W²= 16
Square root both sides:
W= 4 (reject negative as width cannot be a negative number)
Thus, the width of the garden is 4 meters.