book Maths Puzzle Numerical Ability

The perimeter of a rectangle is 34 feet, and the diagonal is 13 feet long. What are the length and width of the rectangle?

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book Other Question

There is the square ABCD. Trace a line between corner A and midpoint E of side DC. Trace another line between corner A and point F of side DC such that AF equals AB+FC. Prove that angle DAE is half of angle FAB. A variable z varies jointly with x and the square of y. If z = 6 when x = 4 and y = 3, write the equation of joint variation.