Question

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?

Answer 1

Answer:

Required Answer:-

Let

$\sf length=x$

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

As we know that in a rectangle

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

• Substitute the values

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

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

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

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

${:}\longrightarrow\sf 10x=4×375$

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

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

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

$\therefore$Length =150feet