# Find The Difference Between Length and Breadth? If

A man takes 6 km distance to go around the rectangular area. If the area of the rectangle is 2 km, find the difference between length and breadth.

- 2 km
- 0.75 km
- 1 km
- 0.5 km

**Answer: (3) 1 km**

**Explanation:-**

Let the length of the rectangle area is L km & the breadth of the rectangle area is B km.

A man takes 6 km distance to go around the rectangular area.

Then, the perimeter of the rectangle area = 6 km

**Formula-**

**Perimeter of the rectangle area = 2 (L + B)**

Then, 2(L + B) = 6

L + B = 6/2

L + B = 3 km

The area of the rectangle area = 2km

**Formula-**

**The area of the rectangle area = L x B**

Then, L B = 2

**Formula-**

** (a + b) ^{2} = a^{2} + b^{2} + 2 a b**

Then, (L + B)

^{2}= L

^{2}+ B

^{2}+ 2 L B

Now, put the value of L + B = 3 & L B = 2

Then, (3)

^{2}= L

^{2}+ B

^{2}+ 2 x 2

9 = L

^{2}+ B

^{2}+ 4

L

^{2}+ B

^{2}= 9 – 4

L

^{2}+ B

^{2}= 5

**Formula-**

** (a – b ) ^{2} = a^{2} + b^{2} – 2 a b**

**Then, (L – B)**

^{2}= L^{2}+ B^{2}– 2 L BNow, put the value of L

^{2}+ B

^{2}= 5 & L B = 2

Then, (L – B)

^{2}= 5 – 2 x 2

(L – B)

^{2}= 1

L – B = 1

Then, difference between length & breadth is 1 km

Hence, the answer is (3) 1 km.