Respuesta :
Answer:
Required Answer:-
Let
[tex]\sf length=x [/tex]
[tex]\sf Breadth={\dfrac {x}{4}}[/tex]
As we know that in a rectangle
[tex]{\boxed{\sf Perimeter=2 (l+b)}}[/tex]
- Substitute the values
[tex]{:}\longrightarrow\sf 2 \left (x+{\dfrac {x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf 2 \left({\dfrac {4x+x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf 2 \left({\dfrac {5x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf {\dfrac {10x}{4}}=375 [/tex]
[tex]{:}\longrightarrow\sf 10x=4×375 [/tex]
[tex]{:}\longrightarrow\sf 10x=1500 [/tex]
[tex]{:}\longrightarrow\sf x={\dfrac {1500}{10}}[/tex]
[tex]{:}\longrightarrow\sf x=150[/tex]
[tex]\therefore[/tex]Length =150feet
