Answer:
40,000 ft
Step-by-step explanation:
The area of a rectangle is weight*length, and the perimeter is the sum og the four sides, which are 2 lengths sides ans 2 width sides, so:
area = w*l
perimeter = 2w + 2l
If the perimeter is 1000 ft:
2w + 2l = 1000
Also, the length is 300 ft more than width, so:
l = 300 +w
So, our system is:
2w + 2l = 1000 (equation 1)
l =300 + w (equation 2)
Son, we can solve it by replacing equation 2 in equation 1:
2w + 2(300 +w) = 2w + 600 + 2w = 4w + 600 = 1000
Now, subtract 600 in both sides:
4w + 600 - 600 = 1000 - 600
4w = 400
Divide both sides by 4:
4w/4 = 400/4
w = 100
Lets replace this w value in equation 2 to find l:
l = 300 + 100 = 400, so l=400
Finally we can find the area using the area formula:
area = 400*100 = 40,000 ft2
So, the area is 40,000 ft2
