the perimeter of rectangle is 60 CM if its area is 200 square centimetre find its length and breathe in centimetres
Answers
Answered by
6
A/q
Let
Lenght = x cm
Breadth = ycm
Perimeter = 60
2(x+y)= 60
x+y =30 ..(1)
Area = 200
x*y = 200
x=200/y
Put in (1)
200/y + y =30
(200 + y^2)/y = 30
(200 + y^2) = 30y
y^2 -20y -10y + 200 =0
y(y-20) -10(y-20) = 0
(y-10)*(y-20)=0
=> y=10,20
From (1)
if y = 10 => x=30-10=20
if y = 20 => x=30-20=10
#ANSWERWITHQUALITY
MARK AS BRAINLIEST
Answered by
21
Step-by-step explanation:
2 ( l + b ) = 60
l + b = 30
l = 30 - b
l × b = 200
( 30 - b )b = 200
30b - b² = 200
-b² + 30b - 200 = 0
b² - 30 b + 200 = 0
b² -10b -20b + 200 = 0
b ( b - 10 ) - 20 ( b - 10 ) = 0
b = 10 , b = 20
so when b=10 cm
l = 20cm
when b=20cm
l = 10cm
#answerwithquality #BAL
Similar questions