Question

A rectangular area is to be fenced in along a straight river bank as illustrated. The length of the​ fenced-in area is to be 77 feet greater than the​ width, and the total amount of fencing to be used is 6161 feet. Find the width and length of the​ fenced-in area.

Answer 1

Answer:

width = 11.75 feet  and length is 18.75 feet

Step-by-step explanation:

The length of the​ fenced-in area is to be 7 feet greater than the​ width, and the total amount of fencing to be used is 61 feet.

Let w be the width of the rectangle

length is 7 feet greater than the width. so length is w+7

Total amount of fencing is 61 feet. Perimeter = 61 feet

$perimeter = 2(length )+ 2(width)61=2(w+7)+2w\\61=2w+14+2w\\61=4w+14$

subtract 14 from both sides

$4w=47\\w=11.75$

width = 11.75 feet  and length is 11.75+7=18.75