Answer:
original width= 9.6 feet
original length = 38.4 feet
Explanation:
Hi, to answer this question we have to apply the formula
P =2w +2 L
Where:
P=perimeter
W= width
L = length
Since the field is 4 times as long as it is wide
L= 4W
So, if the length is decreased by 10 feet and the width is increased by 2 feet, the perimeter will be 80 feet.
Mathematically speaking
80= 2 (W+2) + 2(L-10)
Simplifying:
80 = 2w+4 +2L-20
Replacing the value of L by 4W
80 = 2W +4 +2(4W)-20
Solving for W:
80=2W +4 +8W-20
80-4+20= 2W+8W
96= 10W
96/10 =W
W= 9.6 feet
Replacing the value of W in the Length equation:
L =4W
L = 4 (9.6)
L = 38.4 feet