Question 1209976
.
1.A rectangle 9cm long is equal in area to a spuare which has a perimeter of 24cm. 
Find the width of the rectangle.
2.find the length of the side of a square that is equal in area to a rectangle measuring 45cm by 5cm.
 I will be glad if you could help solve
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
(1)  Let x be the width of the rectangle.

     Write an equation for the area

          9*x = {{{(24/4)^2}}}.


     Simplify and find x

          9x = {{{6^2}}}

          9x = 36

           x = 36/9 = 4.


     <U>ANSWER</U>.  The width of the rectangle is 4 cm.
</pre>

Solved.



<pre>
(2)  Let x be the length of a side of the square.


     Write an equation for the area

         {{{x^2}}} = 45*5.


     Simplify and find x

         {{{x^2}}} = 225

         x = {{{sqrt(225)}}} = 15.


     <U>ANSWER</U>.  The side of the square is 15 cm.
</pre>

Solved.