Question

IV. Answer the following questions,
1. The length of a rectangular field exceeds its breadth by 9m. If the perimeter of
the field is 154m, then, find the length and breadth of the field.
2. The sum of the digits of a two-digit number is 8. If 18 is added to the value of the
number, its digits get reversed then, find the number.​

Answer 1

↦Solution : -

1 ) Perimeter of Rectangle = 154m

It is given that : -

The length of a rectangular field exceeds its breadth by 9m...

Let the Length of Rectangular field = x

Then, the breadth of Rectangular field will be = x+9

Formula = Perimeter of Rectangle = 2(l + b)

2(l + b) = 154m

l + b = 154/2

l + b = 77

So : -

x + 9 + x = 77

2x + 9 = 77

2x = 77 - 9

2x = 68

x = 68/2

x = 34

So , the value of x is 34m ...

Now : -

Breadth = x

34m

Length = x + 9

34 + 9

43m

Therefore , Breadth of a rectangular field is 34m and the length of the rectangular field is 43m ...

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