Question

Question:-
The length and the breadth of a rectangular field are in the ratio 5 : 3. If its perimeter is 128 m, find the dimensions of the field.

Note:-
☯️Needed well explained and quality answers
☯️No spam
☯️No copy
☯️Don't go against the rules.​​

Answer 1

ǫᴜᴇsᴛɪᴏɴ:

The length and the breadth of a rectangular field are in the ratio 5 : 3. If its perimeter is 128 m, find the dimensions of the field.

ᴀɴsᴡᴇʀ + sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:

↑ Here is your answer ↓

_____________________________________________________________

_____________________________________________________________

Let the length be '5x' and breadth be '3x'

2(5x + 3x) = 128

2*8x = 128

8x=64

x = 8

length = 5x = 40 m

breadth = 3x = 24 m

ᴀɴsᴡᴇʀɪɴɢ ʙʏ ǫᴜᴀʟɪᴛʏ

ʜᴏᴘᴇ ᴛʜɪs ʜᴇʟᴘs...

Answer 2

l

$</p><p>\huge \sf { \fcolorbox{green}{g}{Answer࿐}}$

:

$\Large{\underline{\underline{\sf{Given:}}}}$

• length and the breadth of rectangular field are in ratios 5:3.

• The perimeter of rectangular field is 128 m.

$\Large{\underline{\underline{\sf{Find:}}}}$

Dimension of the field

$\Large{\underline{\underline{\sf{Formula \: used :}}}}$

Per+

Perimeter of rectangular field = 2 ( l + b )

Area of rectangular field = legth × width

$\Large{\underline{\underline{\sf{Solution:}}}}$

Let , the ratio between length and breadth be x.

So, Length = 5x and Breadth = 3x

Perimeter of rectangle = 2(l+b)

Given ,length and breadth in ration 5:3

Therefore ,

length ( l )=5x and br3adth|ro (b)=3x.

2(5x+3x)=128

2(8x) =128

16x = 128

x=8

Hence,

l = 5× 8 = 40 and b= 3× 8 = 24.

Area of rectangle = length × width

= 40× 24

= 960 cm ²

hope it helps