Question

Solve the problems.
3. Perimeter of a rectangle is 24 metres. If length of rectangle is2 metres more than its breadth,then find the breadth of the rectangle

Answer 1

Answer:

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Step-by-step explanation:

Perimeter of Rectangle = 24 m

Length of Rectangle = 2m + Breadth of Rectangle

Perimeter = 2(l + b) = 2(2 + b + b)

24 = 2(2 + 2b)

12 = 2 + 2b

2b = 10

b = 5 m

l = 2 + 5 = 7 m

Length of Rectangle = 7m

Breadth of Rectangle = 5m

Answer 2

GIVEN THAT

• Perimeter of rectangular is 24 m
• Length of rectangle is 2m more than its breadth.

TO FIND

• Breadth of the rectangle

FORMULA USED

• Perimeter of rectangle = 2(L + B)

Step by step explanation

• According to question, Length of rectangle is 2 m more than its breadth. Then,

Let the breadth of rectangle be x

And, let the length of rectangle be (x + 2)

We know, Perimeter of rectangle

= 2(L + B)

=) 2[ ( x + 2 ) + x] = 24

=) 2 ( 2x + 2) = 24

=) 4x + 4 = 24

=) x = 24 - 4

=) x = 20

4

=) x = 5

NOW,

Breadth of rectangle = x = 5

Length of rectangle = (x + 2) = 5 + 2 = 7

So, breadth of rectangle is 5m

PROVE

Perimeter of rectangle = 2(L + B)

=) 2(7 + 5) = 24

=) 2 × 12 = 24

=) 24 = 24

HENCE, PROVED