Question

Solve this Question.

Answer 1

Step-by-step explanation:

AB=CD , AD=BC

2(p+1)-6=18

2p+2=24

p=11

q=6 {opt.a}

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Answer 2

Question :

Find the value of p and q ?

Answer :

Given :

ABCD is a rectangle in which;

DC = 18 cm

BC = 13 cm

Required to find :

Value of p and q

solution:

To solve this question we need to know about the properties of rectangle and a bit of logic .

I think you may be wondering about what are the properties of rectangle?

So, Let me explain about the properties of rectangle

Properties of the rectangle

1. All angles are equal to 90 degrees.
2. Opposite sides are equal.
3. Diagonals bisect each other.
4. Diagonals are equal.

By using this properties we are going to solve this problem.

Now, let's coming back to the question.

From the above properties we came to know that

In a rectangle opposite sides are equal

Then ,

AB = DC

so,

2 (p+1)-6 = 18

2p + 2 - 6 = 18

2p - 4 = 18

2p = 18 + 4

2p = 12

p = 12/2

p = 6

Therefore,

Value of p is 6 cm

Similarly ,

AD = BC [ in a rectangle opposite sides are equal ]

so,

4 (q-5)+9 = 13

4q - 20 + 9 = 13

4q - 11 = 13

4q = 13 + 11

4q = 24

q = 24/4

q = 6

Therefore,

Value of q is 6 cm

Conclusion:

correct option - d

None of the above