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The area of a square park is 16x2 + 8x + 1. What is the length of the park?
Answer & Solution
Correct Answer:
Option
B
Let the length of square park = L
Area = L2
L2 = 16x2 + 8x + 1
Length of the park
$$\eqalign{ & = \sqrt {16{x^2} + 8x + 1} \cr & = \sqrt {{{\left( {4x} \right)}^2} + 2 \times 4x + {1^2}} \cr & = \sqrt {{{\left( {4x + 1} \right)}^2}} \cr & = \left( {4x + 1} \right){\text{ units}} \cr} $$
Area = L2
L2 = 16x2 + 8x + 1
Length of the park
$$\eqalign{ & = \sqrt {16{x^2} + 8x + 1} \cr & = \sqrt {{{\left( {4x} \right)}^2} + 2 \times 4x + {1^2}} \cr & = \sqrt {{{\left( {4x + 1} \right)}^2}} \cr & = \left( {4x + 1} \right){\text{ units}} \cr} $$
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