Answer:
The dimensions of rectangular lot is Length=500 feet and Width=300 feet
Explanation:
The formula for perimeter of rectangle is given by,
Where, L = length, W = width and P = Perimeter.
According to given data, rectangular lot has a perimeter of 1600 feet. Therefore,
….1
Now, cost of fencing along one length is given as $ 20 per feet. So total cost of one length is,
Similarly, cost of fencing along two width is given as $ 5 per feet. So total cost of two width is,
Total cost of fencing along three sides is given as $13000. Therefore,
Total cost = Cost of fencing of one length + Cost of fencing of two width
Substituting the value,
….2
So, there is two equations and two unknown. Solve it by substitution method.
Solving equation 1 for W.
Dividing both sides of equation by 2,
Subtracting L from both sides,
….3
Substituting equation 3 into equation 1 and simplifying,
So value of length is 500 feet. Substituting the value of L in equation 1 and simplifying,
So value of width is 300 feet.