Book Maths Puzzle Trigonometry

a rectangular countertop had an area of 6m2 and a perimeter of 11m. Find its length and width.
find two complementary angles which meet this condition: the first angle measure is

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How do I rearrange this equation to solve for n: y=x^n
I have the values for x and y but would like to figure out what the exponent would be?
this refers to similar figures. I need to know the ratio of perimeters and areas of the scale factor 1:4, and r:2s, and i need to know the raiot of areas and the scale factors of ther ratio of perimeters 3:13, and using the ratio of areas 9:64 i need to know ratio of perimeters and the scale factors. Then my next question is this, L, M, and N aare the midpoints of the sides of triangle ABC. Find the ratio of the perimeters and the ratio of the areas of triangle LMN and triangle ABC.

Also, A quadrilateral with sides 8 cm, 9 cm, 6cm, and 5cm, has and area of 45cm2. Find the area of similar quadrilateral whose longest side is 15cm.