Perimeter & Area

Problem

Perimeter as decimal side sums minus overlaps

A 4 m piece of wire is bent (no overlap) into one equilateral triangle whose side is 0.58 m. I need to find how much wire is left over after making the triangle.
0.58 m
Base-ten numbersMeasurement & data
Your answer
m
How to solve
Strategy Identify Subproblems — Break the task into two small steps: first the perimeter (a side-length sum for an equilateral triangle), then a subtraction from the total wire. The figure shows one labeled side, and all sides are equal, so the perimeter is 3 copies of 0.58 m. Keeping the meters consistent guards against place-value slips with decimals.
1STEP 1

Find the perimeter (wire used)

Three equal sides of 0.58 m: the wire used is 0.58 x 3 = 1.74 m.

0.58 + 0.58 + 0.58 = 0.58 × 3 = 1.74 m
2STEP 2

Subtract to find the leftover

The leftover is the total minus the wire used: 4 - 1.74 = 2.26 m.

4 - 1.74 = 2.26 m
Answer
2.26 m
4 - 1.74 = 2.26 m
The triangle uses 1.74 m, less than half of the 4 m wire, so a leftover of 2.26 m (a bit more than half) is sensible. Check: 1.74 + 2.26 = 4.00 m, exactly the original wire.
Takeaway

Add up the three equal sides, then subtract from the total: leftover wire is just a tidy decimal subtraction you already know!

  • Find the perimeter (wire used)
  • Subtract to find the leftover
Where next?
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