Perimeter: Locate the Absent Side Lengths

As you know, if you do not have the length of a polygon, you can use the perimeter to determine the length of the missing side. but how? This is what we are going to teach you in this article.

Perimeter: Locate the Absent Side Lengths

A perimeter of a shape is described as the complete distance around a shape. It’s the outline’s length or the boundary of any \(2\)-dimensional geometric shape. A perimeter of various figures could be identical in measurement dependent on its dimensions. For instance, think of a triangle made with a wire consisting of length \(L\). The identical wire could be reprocessed into a square since all the sides are identical in length.

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How to Locate the Perimeter?

A perimeter is the measurement of length contained by the boundary of a shape. Therefore, the perimeter’s units are identical to the units of length. You can state that a perimeter is \(1\)-dimensional. Consequently, you can measure it in centimeters, meters, kilometers, etc. A few additional units for doing a measurement of an accepted internationally are miles, yards, feet, and inches.

Perimeter = Amount of all the sides

ShapePerimeter Formulas
SquareThe perimeter of a square \(= 4 × L\)
where \(L =\) length of a side.
RectanglePerimeter of a rectangle \(= 2 × (l + b)\)
where \(l, b =\) length, and width of the rectangle respectively
TrianglePerimeter of a triangle \(= a + b + c\)
where \(a, b, c =\) lengths of three sides
QuadrilateralPerimeter of a quadrilateral \(= a + b + c + d\)
where \(a, b, c, d =\) lengths of four sides

If one side’s length is not there, employing perimeter you can locate the missing side’s length.

Step one: We are aware perimeters are the length around shapes. Thus, firstly add all sides that are known.

Step two: Subtract the quantity of the sides that are known from a perimeter to locate the missing side’s length.

Note: If you know a rectangle’s perimeter, as well as at least one side’s length, it’s possible to locate the additional \(3\) sides yourself!

Perimeter: Locate the Absent Side Lengths – Example 1:

Find the missing side of the shape.

Perimeter \(=48. x=\)___

Solution:

The perimeter of a square \(= 4 × side →\) \(4 × x= 48 →\) \(x=\frac{48}{4} = 12\) \(→ x=12\)

Perimeter: Locate the Absent Side Lengths – Example 2:

Find the missing side of the shape.

Perimeter \(=50. x=\)___

Solution:

The perimeter of a rectangle \(= 2 × (l + b)→\) \(2× (14+x)= 50 →28+2x=50 →2x=22 →\) \(x=\frac{22}{2} = 11\) \(→ x=11\)

Exercises for Perimeter: Locate the Absent Side Lengths

Find the missing side of each shape.

1) Perimeter \(=88. x=\)___

2) Perimeter \(=42. x=\)___

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  1. \(\color{blue}{22}\)
  2. \(\color{blue}{ 8}\)

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