perimeter of rectangular plot is 36 meters the length is increased by 6meters and breadth is decreased by 3 meters the area of the plot remains the same what is the length of the plot

Perimeter of a rectangular plot = 36 m.

length of the plot

Let the length of the plot be x and it's breadth be y.

We know that,

Perimeter of a rectangle = 2(length + breadth)

⟹ 2(x + y) = 36

⟹ x + y = 36/2

⟹ x = 18 - y -- equation (1)

Also,

If length is increased by 6 m & breadth is decreased by 3 m , the area remains same.

Area of a rectangle = length * breadth

So,

(x + 6) * (y - 3) = xy

⟹ x(y - 3) + 6(y - 3) = xy

⟹ xy - 3x + 6y - 18 = xy

Substitute the value of x from equation (1).

⟹ - 3(18 - y) + 6y = 18

⟹ - 54 + 3y + 6y = 18

⟹ 9y = 18 + 54

⟹ y = 72/9

⟹ y = 8 m

Substitute the value of y in equation (1).

⟹ x = 18 - 8

⟹ x = 10 m

Hence,

Length (x) = 10 m

Breadth (y) = 8 m.

∴ The length of the plot is 10 m.

I hope it will help you.

Regards.

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages