Question

A farmer has a rectangular plot of length ‘X+ Y’ and breadth ‘X - Y’. He decides

to fence the plot with a barbed wire.

Q1.The length of wire needed to cover the plot:

a) 3X + 2Y

b) 6X + 4Y

c) 4X

d) 2X + 2Y

Q2. The length of wire needed to surround three rounds of wire:

a) 18 X + 12Y

b) 12 X

c) 6X – 4Y d) X + 2Y

Q3. The area of rectangular plot will be:

a) 2X

b) X2 – Y2

c) X2+ Y2

d) 2Y

Q4. The sum of length and breadth of the plot:

a) 2X

b) 2Y

c) – 2X

d) -2Y

Q5.
The difference between length and breadth of the rectangle.

a) 2X

b) 2Y

c) – 2X

d) -2Y​

Answer 1

1)The length of wire needed to cover the plot = 2( length + breadth ) = 2( X+Y + X -Y ) = 4X

2) For one round = 4X

For 3 rounds = 12X

3) The area of rectangular plot will be=

4)  The sum of length and breadth of the plot = (X + Y + X - Y) = 2X

5) The difference between length and breadth of the rectangle = (X + Y) -( X-Y) = 2Y