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.
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Answer 1

Answer:

Length= 40m

Breadth= 24m

Step-by-step explanation:

lets take length as 5y and breadth as 3y

perimeter of a rectangle : 2(length + breadth)

=     2(5y+3y)

=     2(8y)

=     16y

Perimeter = 16y

128m = 16y

16y = 128m

y = 128/16

y = 8

Length = 5y = 5*8 = 40m

Breadth = 3y = 3*8 = 24m  

Answer 2

Answer:

Given :-

• Ratio of length and breadth = 5:3
• Perimeter = 128 m

To Find :-

Dimensions

Solution :-

Le the length and breadth be 5x and 3x

$\quad \quad \tt \implies \: 128 = 2(5x + 3x)$

$\quad \quad \tt \implies \: 128 = 10x + 6x$

$\quad \quad \tt \implies \: 128 = 16x$

$\quad \quad \tt \implies \: x = \frac{128}{16}$

$\quad \quad \tt \implies \: x = 8$

$\tt \: Length \: = 5x = 40\: m$

$\tt \: Breadth \: = 3x = 24\: m$