Question

The perimeter of a rectangular field is 28cm and it area is 48cm^2.Find its length and breadth.​

Answer 1

Given

Perimeter of Rectangular field is 28cm

Area of Rectangular field is 48cm²

To Find

We have to find length and breadth

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Step by step explanation:

1. First we apply perimeter of Rectangle formula which is 2(l+b) and hence,from here we will convert whole Equation in terms of length or breadth
2. Now ,we will apply area of Rectangle formula and here we will substitute value which we find from above .

Formulas used here :

Perimeter of Rectangle= 2(length+ breadth)

Perimeter of Rectangle= 2(length+ breadth)Area of Rectangle= length × breadth

Perimeter of Rectangle= 2(l+b)

=>28= 2(l+b)

=>14= l+b

=>l= 14-b----(1)

Area of Rectangle= length × breadth

=>48 = (14-b) × breadth

=>48= 14b-b²

=>48-14b+b²

=>b²-14b+48=0

=>b²-8b-6b+48=0

=>b(b-8)-6(b-8)=0

=>(b-6)(b-8)

=>b= 6 or b=8

We find b= 8 and 6

from Equation 1

length = 14- 8 or 14-6

length = 6 or 8

Hence ,length is either 8 or 6 cm

and breadth is either 8 or 6 cm