10
algebra

The width of a rectangle is xx. The length is 2x−52x - 5. If the perimeter is 50, what is the area?

A

100

B

150

C

125

D

200

Correct Answer: B

Choice Choice D is the correct answer.

  1. Perimeter Equation: 2(x+2x−5)=502(x + 2x - 5) = 50
  2. Simplify: 2(3x−5)=50→6x−10=502(3x - 5) = 50 \rightarrow 6x - 10 = 50
  3. Add 10: 6x=60→x=106x = 60 \rightarrow x = 10
  4. Dimensions: Width = 10, Length = 2(10)−5=152(10)-5 = 15
  5. Area: 10×15=15010 \times 15 = 150

Choice Choice A is incorrect because calculation error.

Choice Choice D is incorrect because calculation error.

Choice Choice C is incorrect because calculation error.

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Linear Functions Set 31