Question 1

The width of a rectangle is 1/4 its length. The perimeter of the rectangle is 375 ft. What is the length, in feet, of the rectangle?

Question 2

Answer:

Let

$\sf length=x$

$\sf Breadth={\frac {x}{4}}$

As we know that in a rectangle

${\boxed{\sf Perimeter=2 (l+b)}}$

${:}\longrightarrow\sf 2 \left (x+{\frac {x}{4}}\right)=375$

${:}\longrightarrow\sf 2 \left({\frac {4x+x}{4}}\right)=375$

${:}\longrightarrow\sf 2 \left({\frac {5x}{4}}\right)=375$

${:}\longrightarrow\sf {\frac {10x}{4}}=375$

${:}\longrightarrow\sf 10x=4×375$

${:}\longrightarrow\sf 10x=1500$

${:}\longrightarrow\sf x={\frac {1500}{10}}$

${:}\longrightarrow\sf x=150$

$\therefore$ Length =150feet

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