30. The perimeter of rectangular field is 28 cm and its area is 48 cm². Find its length and
breadth.
Answers
Answer: 10m
Step-by-step explanation:
Correct option is
B
10 m
Perimeter of Rectangle =28 m
2( length +Breadth ) =28 m
length + breadth =14 m ( 1 ) equation
Area of Rectangle =48m
2
Length × breadth =48m
2
( 2 ) equation
On 1 equation,
length + Breadth =14
lets Square on both sides,
Length
2
+Breadth
2
+2(48)=196m
2
Have put the value of length × breadth
Length
2
+ breadth
2
=196−96
Length
2
+ breadth
2
=100
We know,
diagonal of Rectangle =
length
2
+breadth
2
So, diagonal =
100
m
Length of diagonal =10 m.
Answer:
Given
Perimeter of Rectangular field is 28cm and it's area is 48cm².
To Find
We have to find its length and breadth
step 1:Firstly we will apply perimeter or area formula of Rectangle and mark them Equation 1 and 2.
Step 2:From Equation 1 or 2 and we will convert the whole Equation either in the form of length or breadth and then substitute into another equation.
Step 3: We will find one value either l or b then again put into another Equation to find other value.
Since, perimeter of Rectangular field= 2(l+b)
Perimeter is 28cm
Our Equation becomes: 28= 2(l+b)----(1)
Area of Rectangular field= length * breadth
since ,area is 48cm²
Our Equation becomes: 48= l*b------(2)
From equation 1
=> 14 = l+b
l= 14-b----(3)
Substitute Equation 3 into 2
=> 48= (14-b)*b
=> 48= 14b-b²
=> 48-14b+b²
=> b²-14b+48
=> b²-8b-6b+48
=> b(b-8)-6(b-8)
=> (b-6)(b-8)
Makes equal to zero
we get b = 6 or b=8
Substitute b's value into equation 3
When b = 6
14-6
length = 8
when b= 8
l= 14-8=6
Therefore,length is 8cm
Breadth is 6cm
Hope this helps you!!!