Question

Statement I: Subtraction of integers is commutative. Statement II: Addition of integers is commutative
1 point
a) Both statements I and II are correct
b) Both statements I and II are incorrect
c) Statement I is correct and statement II is incorrect
d) Statement I is incorrect and statement II is correct​

Answer 1

Answer:

options d is correct answer for the question

Answer 2

Given :-

• Length is 10 cm more than breadth
• Perimeter = 40 cm
• Area = 75 cm²

To Find :-

Whether it's correct or not.

Solution :-

As we know that

• Perimeter = 2(l + b)

Let the breadth be a and Length be a + 10

40 = 2(a + 10 + a)

40 = 2a + 20 + 2a

40 = 4a + 20

40 - 20 = 4a

20 = 4a

20/4 = a

5 = a

Breadth = 5 cm

Length = 10 + 5 = 15 cm

Now,

• Area = Length × Breadth

Area = 15 × 5

Area = 75 cm²

Hence, Statement I is correct.

Now,

Above we concluded that,

Area of rectangle = Length × Breadth

And we know rectangle has two length and two breadth

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large x cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large y cm}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

Perimeter = L + L + B + B

Perimeter = 2(l + b)

Hence, It is wrong

Therefore :-

Option C is correct