Question

The length and breadth of a rectangular park are in the ratio 4.3 and it's
perimeter is 56cm. the area of the feild is
??​

Answer 1

Answer: 192

Step-by-step explanation:

Given :

i) Ratio of Length and Breadth is 4:3

ii) Perimeter = 56 cm

To Find:

The area of the field.

Solution:

Let Length be 'L' and Breath be 'B'.

Then,

L : B : : 4 : 3

⇒ L = 4/3 B

Perimeter = 2(L + B)

⇒ 2(4/3 B + B) = 56

⇒ 14/3 B = 56

⇒ B = 12 cm

L = 4/3 B = 16 cm

Area of the field = L × B = 12 × 16 = 192 cm²

Hope this helps.

Answer 2

Answer:

let the length and breadth be 4x and 3x respectively. ATQ....

perimeter= 56. so,

2( l + b) = 56

2( 4x + 3x )= 56

2(7x)=56

x= 56/14=4

so x is equal to 4

length = 4x= 4×4= 16

breadth= 3x=3×4= 12

AREA= l×b=. 16×12 = 192