Question

the lengh of a rectangle is one inch less then three times its width. If the primeter of the rectangle is 118 inches, find the dimensions of the rectangle

Answer 1

`\sf\\\textsf{Let the width of rectangle be 'w'. Then the length of rectangle will be 3w - 1.}\\\textsf{According to the question,}\\\textsf{Perimeter of rectangle =118 inches}\\\textsf{or, }2(length + width)=118\\\textsf{or, }2[3w-1+w]=118\\\textsf{or, }2[4w-1]=118\\\textsf{or, }4w-1=59\\\textsf{or, }4w=60\\\textsf{or, }w=15 \textsf{ inch}`

`\sf\\\therefore\ \textsf{Length of rectangle = }3w-1=3(15)-1=45-1=44\ inch`

`\textsf{So the length of rectangle is 44 inch and width is 15 inch.}`