Question

the perimeter of a rectangle is 46cm and area is 120cm.its length and breadth respectively, are(in cm).​

Answer 1

Answer:

8, 15

Step-by-step explanation:

2(l+b)=46

l+b=23

l=23-b

putting the value of l in the below equation

l*b=120

(23-b)*b=120

23b-b²=120

b²-23b+120=0

solving the quadratic equation, we get

b=8,15

if b=8, then l=15

if b=15, then l= 8

Answer 2

length and breadth of rectangle=

2(l+b)=46

2l+2b=46

l+b=46/2

=l+b=23

l=23-b

b=23-l

area of rectangle=

l*b=120

23-b*23-l=46