Answer :
The dimension of the carpet are 54 inches and 34 inches.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given,
A rectangular Persians carpet has a perimeter of 176 inches.
Now,
The perimeter of a rectangle is;
P =2W + 2L
In this case;
⇒ 176= 2W + 2L
Also, the 2nd sentence says;
⇒ L = W + 20
We can substitute this value of length in the perimeter formula as;
176 = 2W + 2(W+20)
176 = 2W+ 2W + 40
176 = 4W + 40
136 = 4W
34 = W
W = 34
Since, L = W +20
L = 34 + 20
= 54
Thus, The dimensions are 54 inches and 34 inches.
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The dimensions of the carpet are 54 inches in length and 34 inches in width. This was determined by setting up and solving the perimeter equation for a rectangle, after which we calculated the length by adding 20 to the width.
To determine the dimensions of a rectangular Persian carpet with a perimeter of 176 inches where the length is 20 inches more than the width, first, let's let the width be represented by w inches. The length will then be w + 20 inches. The perimeter of a rectangle is calculated by adding together twice the width and twice the length (P = 2w + 2l).
The formula with the given values will look like this:
176 = 2w + 2(w + 20)
Simplifying this equation gives us the width and subsequently the length:
176 = 2w + 2w + 40
176 = 4w + 40
136 = 4w
w = 34
So, the width of the carpet is 34 inches. To find the length, we add 20 inches to the width:
Length = w + 20 = 34 + 20 = 54 inches
Therefore, the dimensions of the carpet are 54 inches in length and 34 inches in width.
