Question

a homeowner measured her rectangle backyard is having a length of 40 yards and a width of 25 yard. Her measurements were accurate to the nearest yard. What is the range of possible values for an eight. The actual area in square yards of her backyard

Answer 1

A. 936 ≤ A < 1066

Explanation:

It is given that:

w = width of lawn accurate to nearest yard = 25 yards

L = length of lawn accurate to nearest yard = 40 yards

Now, for the lower bound value of the area (
`A_l`) can be given as follows:

`A_l = (L-Uncertainty)(w-Uncertainty)\\A_l = (40\ yards-1\ yard)(25\ yards - 1\ yard)\\A_l = 936\ sq.\ yard`

Now, for the upper bound value of the area (
`A_u`) can be given as follows:

`A_u = (L+Uncertainty)(w+Uncertainty)\\A_u = (40\ yards+1\ yard)(25\ yards + 1\ yard)\\A_u = 1066\ sq.\ yard`

Therefore, the correct option is:

A. 936 ≤ A < 1066