If the perimeter of given rectangle be 70 cm. If the length is 3x and the breadth is (2x+5) cm. Find the actual length and breadth of a rectangle.
Answers
Answer:
length =18cm ,breadth =17cm
Step-by-step explanation:
area of rectangle = 2(l+b)
length =3x
breadth = (2x+5)
2(3x+2x+5)=70
2(5x+5)=70
(5x+5)= 70÷2
5x+5= 35
5x= 35-5
5x= 30
x=30÷5
x=6
length = 3x= 3×6
=18cm
breadth = (2x+5)
=(2×6+5)
(12+5)= 17cm
Answer:
Length =18 cm ,Breadth = 17 cm
Step-by-step explanation:
According to the information provided in the question it is given as
If the perimeter of given rectangle be 70 cm. If the length is 3 x and the breadth is (2 x+5) cm.
We need to find the actual length and breadth of a rectangle.
Here
Perimeter = P = 70 cm
Length = l= 3 x
Breadth = b= ( 2 x + 5)
Now applying the formula of perimeter of rectangle
P= 2( l+ b)
70= 2(3 x + 2 x+ 5)
70 = 6 x+4 x +10)
70 = 10 x + 10
10 x= 70 - 10
10 x = 60
x = 60 /10
x = 6
Now by substituting the value of x in original length and breadth equation
Length = l= 3 x
l =3 * 6
l = 18 cm
Breadth = b= ( 2 x + 5)
= b= (2* 6 + 5)
= b= (12 +5)
= b= 17 cm
Hence the length is 18 cm and breadth is 17 cm