Question

correct answer of (B) and (C) please ​

Answer 1

Answer:

b) 30 root 2

c) 3 root 2

Step-by-step explanation:

AB = 8 cm

BC = 6 cm

b) What is the area of the rectangle APQC? Why?

ans. AB = 8 cm

BC = 6 cm

with this information we can find the length of AC using pythagoras theorem that is

$adjecent \: {side}^{2} + opposite \: {side}^{2} = {hypotenuse}^{2} \\ {8}^{2} + {6}^{2} = {hypotenuse}^{2} \\ 64 + 36 = \sqrt{100} \\ \sqrt{100} = 10$

as one side of the second rectangle is diognal to the first the rectangle, the angle ACB= 45 degree and as ACB is 45 degree ABC will also be 45 degree as they are alternative angles and as both the angles are equal it means both the sides are equal therefore finally we can understand that the length of BQ = CQ

and now to find the length of CQ or BQ as both are equal and now again we can use pythagoras theorem but here we want a square so we can turn the equation that is

${6}^{2} (ab) = {a}^{2} + {b}^{2}$

here a square = b square so we can address both as A square

${6}^{2} = {a}^{2} + {a}^{2} \\ 36 = {a}^{2} + {a}^{2} \\ 36 = 2 {a}^{2} \\ \frac{36}{2} = {a}^{2} \\ 18 = {a}^{2} \\ a = \sqrt{18} \\ = \sqrt{9 \times 2} \\ = 3 \sqrt{2}$

therefore CQ = 3 root 2

and AC = 6

therefore the area of APQC = 3 root 2 × 6 = 30 root 2

c) find the length of CQ?

3 root 2

Answer 2

Step-by-step explanation:

I am fine

looks like you're 9th or 10th

jøïñ for board and ntse preparation

tahcaek

this will be very help full