Question

the different between the length and breadth of rectangle is 13 m. its perimeter is 82m, than what is its area​

Answer 1

Answer:

$378 \: {m}^{2}$

Step-by-step explanation:

Given:

let length=x

then breadth=x-13

perimeter=82 m

perimeter=2(l+b)

82=2(2x-13)

41=2x-13

54=2x

x=27

length=27m

breadth=14m

area=27×14=378m2

Answer 2

Step-by-step explanation:

let l be the length

and b be the breadth

b=l+13. i.el=b-13

perimeter of rectangle=2(l+b)

82=2{(b-13)+b}

82=2(2b-13)

. ... 82=4b-26

82+26=4b

. 108÷4=b

27=b

l=b-13

l=27-13

l=14

area=l*b=14*27=378