The lawn area of uniform width can be written as follows: A = (40 + 2x) * (35 + 2x) - (40) * (35) Where, x: width of the lawn Substituting the value of the area we have: 316 = (40 + 2x) * (35 + 2x) - (40) * (35) Rewriting: 316 = 1400 + 80x + 70x + 4x ^ 2 - 1400 Rewriting we have: 4x ^ 2 + 150x - 316 = 0 Solving the polynomial we have: x1 = - 79/2 x2 = 2 Taking the positive root we have that the grass width des: x = 2 yards Answer: The width of the lawn that surrounds the garden is: x = 2 yards
The rate of reaction is the volume change (ΔV) divided by the time(t) and divided by the coefficient of the compound in the reaction. The coefficient of O₂ is 1, so:
