Answer :
The length is 4(14)+ 11 = 67 cm and width is 14 cm.
what is Algebra?
A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter of rectangle = 162 cm
let the width be x .
then, the length is 4x+ 11
Thus, Perimeter of rectangle= 2(l + w)
162 = 2( 4x + 11 + x)
162 = 2( 5x +11)
81 = 5x+ 11
5x= 70
x= 14
Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.
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let
width = w
length = 4w + 11
2(length) + 2(width) = perimeter
2(4w + 11) + 2(w) = 162
8w + 22 + 2w = 162
10w + 22 = 162
10w = 140
w = 14 cm (WIDTH)
length = 4w + 11
length = 4(14) + 11
length = 56 + 11
LENGTH = 67 cm
