The area of pasture is 60000 square feet.
Step-by-step explanation:
Perimeter of rectangular pasture = 1000 feet
Width of pasture = w
Length of pasture = l = w+100
We know that,
Perimeter = 2(Length+width)
[tex]1000=2(w+100+w)\\1000=2(2w+100)\\1000=4w+200\\1000-200=4w\\800=4w\\4w=800[/tex]
Dividing both sides by 4
[tex]\frac{4w}{4}=\frac{800}{4}\\w=200[/tex]
Width is 200 feet.
Length = w+100 = 200+100 = 300 feet
Area of pasture = A = Length * Width
[tex]Area\ of\ pasture=300*200\\Area\ of\ pasture=60000 \ ft^2[/tex]
The area of pasture is 60000 square feet.
Keywords: rectangle, area
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