exam Maths Puzzle Numerical Ability

You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden. How long should each piece be?

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I need help with these three questions. I cannot solve them. thank you.

If (theta) is an acute angle with cos(theta) = 1/9, find the exact value of sin a/2.

If (theta) is a is 49sqrt100 a rational expression?

HELP. How do I determine rational vs. irrational