Question

A carpet manufacturer has received a special order from a contractor for precision-cut carpet. The carpet is rectangular, and the dimensions must be exactly 2003-04-04-00-00_files/i0170000.jpg yards wide by 2003-04-04-00-00_files/i0170001.jpg yards long. To know what the price of the carpet is, the salesman must know the total area of the carpet to be prepared for the contractor. What is the area of the carpet? (Recall that the area of a rectangle is the width multiplied by the length).

Answer 1

The complete question in the attached figure

we know that
area of rectangle=width*length
width=$4+ \sqrt{7}$  yd
length=$5+ \sqrt{7}$  yd
$A=(4+ \sqrt{7})*(5+ \sqrt{7})---\ \textgreater \ (20+4 \sqrt{7}+5 \sqrt{7} +7)$
$A=(27+9 \sqrt{7})$ yd²