Area = (1/2) * (base1 + base2) * height = (1/2) * (10 + 6) * 4 = 32 cm².

Area of a trapezium = (1/2) × (base1 + base2) × height = (1/2) × (10 + 6) × 4 = 32 cm².

Area = (1/2) × base × height = (1/2) × 12 × 5 = 30 cm².

Using Heron's formula, s = (6 + 8 + 10)/2 = 12. Area = √[s(s-a)(s-b)(s-c)] = √[12(12-6)(12-8)(12-10)] = √[12 × 6 × 4 × 2] = 24 cm².

The triangle is a right triangle (7² + 24² = 25²). The area is (1/2) * base * height = (1/2) * 7 * 24 = 84 cm².

Let the cost price be x. Selling Price = x + 20% of x = 1.2x. Thus, 1.2x = 1200, so x = 1000.

Let the cost price be x. Selling Price = Cost Price + Profit = x + 0.25x = 1.25x. Setting this equal to $400 gives 1.25x = $400, so x = $400 / 1.25 = $320.

Wholesaler's selling price = Cost Price + 20% of Cost Price = $200 + $40 = $240. Retailer's selling price = $240 - 10% of $240 = $240 - $24 = $216.

Let the cost price be x. Selling Price = x + (20% of x) = 1.2x. Therefore, 1.2x = $200, x = $200 / 1.2 = $166.67.

B's cat can be in the same room as D's parrot since A and C cannot be together.

B has a cat, which is confirmed by the information given.

Since A has a dog, B has a cat, C has a bird, and E has a rabbit, D must have the fish.

Since A has a Dog, B does not have a Cat or Fish, C has a Bird, and D has a Rabbit, E must have a Fish.

Since A likes Red, C likes Yellow, and D likes Black, E must like Green.

E plays the violin as D does not play the guitar or piano.

D plays the flute as per the given conditions.

Since A and B cannot sit next to each other, E must be between C and D.

Since A and C are not friends, E must be friends with B, who plays the piano.

Since A and C cannot sit next to each other, E must be sitting between B and D.

Since A, B, C, and D have their sports, E must play Badminton.

Since A does not play Cricket or Football, and B plays Tennis, C plays Basketball, and D does not play Badminton, E must play Badminton.

D must play tennis as A, B, C, and E have already been assigned sports.

Since A does not play Cricket or Football, and B plays Tennis, C plays Basketball, and D does not play Badminton, E must play Badminton.

D is E's spouse as A and B are married and C is D's sibling.

D is E's spouse as A and B are married and C is D's sibling.

E is a pilot as the professions of A, B, C, and D are already assigned.

Since A is older than B and younger than C, and D is older than E but younger than A, B is the youngest.

D is the odd one out as he is only friends with B.

E is sitting next to D as D is opposite E.

D must be the doctor since A cannot be the doctor or artist, and B is a lawyer.