First convert yards to feet.
1 yard = 3 feet.
100 x 3 = 300 feet long.
53 x 3 = 159 + 1 = 160 feet wide.
Now use the Pythagorean theorem to find the diagonal.
x^2 = 300^3 + 160^2
x^2 = 90000 + 25600
x^2 = 115600
x = √115600
x = 340 feet
A) The greatest rectangular area will be the area of a square 10 m on each side, 100 m^2.
b) The new dimensions will be 11 m × 11 m.
.. The new area will be (11 m)^2 = 121 m^2.
c) The area was increased by 121 m^2 -100 m^2 = 21 m^2, or 21%.
d) Yes, and no.
.. If you increase the dimensions by 10%, the area will increase by 21%.
.. (40 m)^2 = 1600 m^2
.. (44 m)^2 = 1936 m^2 = 1.21*(1600 m^2), an increase of 21% over the original.
.. If you increase the dimensions by 1 unit, the area will increase by (2x+1) square units, where x is the side of the original. For x≠10, this is not 21 square units.
.. (41 m)^2 = 1681 m^2 = 1600 m^2 +(2*40 +1) m^2 = 1600 m^2 +81 m^2
Answer:
s=7w + 85..$141 in total for 8 weeks
You add 70 + 50 then you multiply it by 7.5 and you get, 900 gallons.
