Find the dimension of a rectangle whose with is 6 miles less than its length and whose area is 72 square tiles
1 answer:
Answer:
Length = 12
Width = 6
Step-by-step explanation:
Width = 6 miles less than length;
L = L
W = L - 6
Area = 72 ft²
Area = Length * width
Area = (L * L-6)
Area = L² - 6L
-
L² - 6L = 72
L² - 6L - 72 = 0
L² - 12L + 6L - 72 = 0
L(L - 12) +6(L - 12) = 0
L = 12 or L = - 6
L cannot be negative
Width = L - 6
Width = 12 - 6 = 6
Hence,
Dimension of rectangle :
Length = 12
Width = 6
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