Question

A rectangular plot of land has length and breadth in the ratio 3:2. If the perimeter of the plot is 500 m, the length of the plot is *

150 m

100 m

200 m

180 m

​
Solution

Answer 1

Answer:

Given That :-

A rectangular plot of land has length and breadth in the ratio 3:2.

If the perimeter of the plot is 500 m

Find :-

length of the plot .

Step - by - step -Explanation

Let,

Length be = x

Breadth be = y

Using Formula,

★ Perimeter of rectangle = 2 × [Length + Breath]

A/C to question,

(A rectangular plot of land has length and breadth in the ratio 3:2)

➡ x:y = 3:2

➡x/y = 3/2

➡2x - 3y = 0 _______(1)

Again

(The perimeter of the plot is 500 m)

➡perimeter of rectangular land = 2 × [ x + y]

➡ 500 = 2 × [x + y ]

➡2x + 2y = 500

➡2x + 2y = 500 __________(2)

Subtract equ(1) & equ(2)

➡ -3y - 2y = -500

➡ -5y = -500

➡ y = -500/(-5)

➡y = 100

Keep value of y in equ(1),

➡ 2x - 3*100 = 0

➡2x = 300

➡x = 300/2

➡x = 150

Hence

Length be (x) = 150 m

Length be (x) = 150 mBreadth be (y) = 100 m

__________________

Answer 2

Answer:

Solution

Given That :-

A rectangular plot of land has length and breadth in the ratio 3:2.

If the perimeter of the plot is 500 m

Find :-

length of the plot .

Step - by - step -Explanation

Let,

Length be = x

Breadth be = y

Using Formula,

★ Perimeter of rectangle = 2 × [Length + Breath]

A/C to question,

(A rectangular plot of land has length and breadth in the ratio 3:2)

➡ x:y = 3:2

➡x/y = 3/2

➡2x - 3y = 0 _______(1)

Again

(The perimeter of the plot is 500 m)

➡perimeter of rectangular land = 2 × [ x + y]

➡ 500 = 2 × [x + y ]

➡2x + 2y = 500

➡2x + 2y = 500 __________(2)

Subtract equ(1) & equ(2)

➡ -3y - 2y = -500

➡ -5y = -500

➡ y = -500/(-5)

➡y = 100

Keep value of y in equ(1),

➡ 2x - 3*100 = 0

➡2x = 300

➡x = 300/2

➡x = 150

Hence

Length be (x) = 150 m

Length be (x) = 150 mBreadth be (y) = 100 m

__________________