Solution
Given :-
- Perimeter of rectangle = 72 cm
- The length is 3 more than twice the width.
Find :-
Explantion
Using Formula
[tex]\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}[/tex]
Let,
- Length of Rectangle = x cm
- Breadth of Rectangle = y cm
According to question,
==> perimeter of Rectangle = 72
==> 2(x+y) = 72
==> x + y = 72/2
==> x + y = 36_________________(1)
Again,
==> x = 2y + 3
==> x - 2y = 3__________________(2)
Subtract equ(1) & equ(2)
==> y + 2y = 36 - 3
==> 3y = 33
==> y = 33/3
==> y = 11
keep in equ(1)
==> x - 2×11 = 3
==> x = 3 + 22
==> x = 25
Hence
- Length of Rectangle = 25 cm
- Width of Rectangle = 11 cm
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