exam Maths Puzzle Numerical Ability

Suppose there is a semicircle below the rectangle as well as above it. Find the dimensions of the window which admit most sunlight for a given perimeter 8m

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exam Other Question
Combine:( 2√7+√2)(3√7-42√2
5) Simplify by rationalizing the denominator:

√6-√3
——————
√6+√3
thank you so much find all the values of x satisfying the given conditions:

y = (x+9)^(3/2) and y = 343