<PRE><B>Question 1132041</B>
.
A picture measures {{{highlight(cross(is))}}} &lt;U&gt;are&lt;/U&gt; 30cm by 15cm. The mat around the picture is 10 cm wide. Find the area of the mat.
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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;U&gt;The correct solution and the correct answer are below&lt;/U&gt; :



&lt;pre&gt;
Assume that the mat is outside the picture.  Then the outer dimensions are

    30 + 2*10 = 50 cm    and    15 + 2*10 = 35 cm.


The total area is:
     (30+2*10) cm *(15+2*10) cm = 50*35cm^2 = 1750 cm^2


The area of the picture is:
     30 cm * 15 cm = 450 cm^2


The area of the mat alone is (total area - area of picture):
     1750 cm^2 - 450 cm^2 = 1300 cm^2
&lt;/pre&gt;


Similar problems were solved, &amp;nbsp;probably, &amp;nbsp;about 100 times in this forum.


&lt;U&gt;The major lesson to learn from the solution is THIS&lt;/U&gt; :


&lt;pre&gt;
    the width of the frame must be added &amp;nbsp;&lt;U&gt;TWO &amp;nbsp;TIMES&lt;/U&gt; &amp;nbsp;to the measures of a picture to get outer dimensions.
&lt;/pre&gt;

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To see many other similar solved problems, &amp;nbsp;look into the lessons

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-of-a-rectangle-surrounded-by-a-strip.lesson&gt;Problems on the area and the dimensions of a rectangle surrounded by a strip&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Surface-area/Cynthia-Besch-and-the-rug.lesson&gt;Cynthia Besch wants to buy a rug for a room&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Surface-area/Circular-pool-and-a-walkway-around.lesson&gt;Problems on a circular pool and a walkway around it&lt;/A&gt;

in this site.


Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-I - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lessons are the part of this online textbook under the topic 
&quot;&lt;U&gt;Dimensions and the area of rectangles and circles and their elements&lt;/U&gt;&quot;.


Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.


</PRE>