The length of rectangle is 16 cm and width is 9 cm
Step-by-step explanation:
Let l be the length of the rectangle
and
w be the width of the rectangle
Then according to given statements
[tex]2l+2w = 50\\l+w = 25\ \ \ Eqn\ 1\\l-w = 7\ \ \ Eqn\ 2[/tex]
Adding both equations
[tex]l+w+l-w = 25+7\\2l = 32[/tex]
Dividing both sides by 2
[tex]\frac{2l}{2} = \frac{32}{2}\\l = 16[/tex]
Putting l=16 in equation 1
[tex]l+w = 25\\16+w = 25\\w = 25-16\\w = 9[/tex]
Hence,
The length of rectangle is 16 cm and width is 9 cm
Keywords: Linear equations, Variables
Learn more about linear equations at:
- brainly.com/question/2821386
- brainly.com/question/2860697
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