MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
A square piece of cardboard has area 512cm2. Each side of the square is enlarged by a factor of 21/4 to form a bigger square. Answer the following.
(i) Find the length of a side of the original square in its simplest radical form.
(ii) Determine the length of a side of the enlarged square, expressing your answer as a power of 2 with a rational exponent.
(iii) Calculate the area of the enlarged square and simplify it to the form 2k. State the value of k.