Question

a rectangular plot of perimeter 400 feet if the breadth of the plot is 50 feet find the ratio of the length of rectangular plot to its width in simplest form

Answer 1

$\huge \bf{hey}$

$\huge{ \mathfrak{here \: is \: answer}}$

given -

perimeter = 400 feet

breadth= 50 feet

to find

ratio of length to the breadth

means

length/breadth

according to question

first we will find length

perimeter of rectangle = 2(length+breadth)

let length be x

2(x+50)=400

2x+100=400

2x=400-100

2x=300

x=300/2

x=150 feet

means length = 150 feet

hence

ratio

$\bf{ = \frac{150}{50}}$

hence

$\huge{ \frac{3}{1}}$

= 3:1
$\huge \boxed{ \boxed{ \boxed{hope \: it \: helps}}}$

$\huge{ \mathbb{THANKS}}$

Answer 2

Perimeter = 400 feet

Breadth= 50 feet

Perimeter of rectangle = 2(length + breadth)

Assume length be p

2(p + 50) = 400

2p + 100 = 400

2p = 400 - 100

2p = 300

p = $\frac{300}{2}$

p = 150 feet

Hence

Length = 150 feet

Ratio = $\frac{150}{50}$

Ratio = 3 : 1