exam Maths Puzzle Numerical Ability

The problem is: The area of a rhombus is one-half the product of the lengths of its diagonals.

I know the answer as with the previous problem, I just do not know how to go about writing a proof for this.

Thank You

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exam Other Question

A boat weighs 1500 lb more than its motor and 1900 lb more than its trailer. Together the boat and motor weight five times a much as the trailer. How much does the boat weigh?

thank you! I have tried about 12 different equations!
At 71 km/h, how far can you travel in 7.5 h? Use unit analysis to check your answer.