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

Required Answer:-

Let

`\sf length=x`

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

As we know that in a rectangle

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

• Substitute the values

`{:}\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