SAT Math · Linear equations in one variable · medium
A square has a side length of 2x + 3. If the perimeter of the square is 68, what is the value of x?
A square has a side length of . If the perimeter of the square is 68, what is the value of ?
Answer and explanation
Answer: D: 7
The perimeter of a square is 4 times its side length, so . Divide by 4: . Subtract 3: , so , choice D. Check: the side is 17, and . Choice A (8) gives a side of 19. Choice B (14.5) gives a side of 32 and a perimeter of 128. Choice C (6) gives a side of 15 and a perimeter of 60. Choice D is the only value that makes the perimeter exactly 68. Remember the side is , not .
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