Ask Question
2 April, 22:30

A square plywood platform has a perimeter which is 8 times the length of a side, decreased by 12. Find the length of a side.

+2
Answers (1)
  1. 2 April, 23:51
    0
    Answer: The length of a side equals 3 units.

    Step-by-step explanation: The given figure is a square, and a square is a shape with all four sides having equal measurement. This means if the length is given as L, then the width would also measure as L.

    Also we are given a clue as to the measurement of the perimeter of the square. Normally, the perimeter of a square would be computed as

    Perimeter = 4L (that is, add up all four sides). But since we have been told that the perimeter is equal to eight times the length of a side {8 x L, or 8L} decreased by 12 {8L - 12} we can conveniently express the perimeter as

    Perimeter = 8L - 12.

    However, remember that the formula for a perimeter is Perimeter = 4L. Therefore what we have come up with is,

    8L - 12 = 4L

    (Remember that both sides of the equation represents the perimeter)

    By collecting like terms we now have

    8L - 4L = 12

    (Remember that when a negative value crosses from one side of the equation to the other, it becomes positive, and vice versa)

    8L - 4L = 12

    4L = 12

    Divide both sides of the equation by 4

    L = 3

    Therefore, one side of the square measures 3 units
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A square plywood platform has a perimeter which is 8 times the length of a side, decreased by 12. Find the length of a side. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers