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The volume of a box is 24x3y5. The length of the box is 4xy and the width of the box is 2y2. What is the height of the box?An equilateral triangle has unknown side length, x. Write a simplified expression for the perimeter of this triangle. A right isosceles triangle has two sides equal to the same x as in part a. Which triangle, the equilateral triangle in a), or the right isosceles triangle, has the greater perimeter? Use algebraic reasoning to justify your answer.Which triangle has the greater area? Use algebraic reasoning to justify your answer. For more of a challenge, don’t use a calculator.For this question, use algebra to find the new areas.A square has side length x. If you double the length of the square, how does the new area compare to the area of the original square?If you tripled the length of the original square, how does the area compare?If you have a rectangle with a length that is triple the width of the rectangle, how does the area change if the width is doubled?Solve for x: x5=-32 Solve for x: -3x=181Simplify.x3yy2+y2z3-xx2y3-x2y3z3-z32x3y3-1z3+x41x4A rectangle has length 2x-1 and width 8-2x. What is unusual about the perimeter?For what value of x is the rectangle also a square?For what values of x is the rectangle invalid? (If x can be a decimal number, fraction or a whole number.)Answers on Ms. Kueh’s Websitelkueh. ................
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