exam Maths Puzzle Numerical Ability

Evaluate the expression loge(1/e^2)

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exam Other Question

My equation is y=-1/2x + 4
I want to keep it in this form and also have the number 4 stay the same.
I also want to turn -1/2x into 2x. Is there any way to do so? The diagnol of the rectangle is 15 cm. Permimeter is 38cm. What is the area?
Is it possible to find the answer without finding out the dimensions of the rectangle?