According to the solving the length and width of the rectangle are as fallows:
length = 82.2 cm
width = 13.7 cm.
<h3>What is a rectangle's shape?</h3>
A rectangle is indeed a closed 2-D shape with four sides, four corners, and four 90° right angles. A rectangle's opposing sides are equal as well as parallel. A rectangle is a 2-D form with two dimensions: length and width.
<h3>Is planar geometry comparable to
Euclidean geometry?</h3>
Euclidean geometry is seen as an axiomatic system, in which all theorems are derived from a small set of simple axioms. Euclidean geometry is also known as "planar geometry" since it deals with objects like points, lines, angles, squares, triangles, and other shapes.
<h3>According to the given data:</h3>
Let x be the length of the width :
w = x
The challenge stated that the rectangle's length (l) is six times its breadth, or:
l = 6x
The challenge specified the rectangle's perimeter as:
P = 192 cm.
The perimeter (P) is the sum between twice the length as well as twice the width. Using Eqs. 1 and 2, the perimeter (P) is:
P = 2(L + b)
192 = 2(6x + x)
192 =12x²
x = 13.7 cm
substituting the value of x:
w = 13.7 cm
length = 6x
= 6 * 13.7
= 82.2 cm
finding the perimeter of the rectangle:
P = 2( L + B)
= 2(82.2 + 13.7)
= 2(95.9)
= 191.8 cm
on rounding of we get 192 cm.
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