Area = 44 ft2
(x – 12) ft
(x - 5) ft

x = 16 feet

Step-by-step explanation:

I'm guessing the shape given is a rectangle? Anyways, to find the area we multiply the sides, this gives us the equation:

(x - 12)(x - 5) = 44

We can distribute to get

x^2 - 12x - 5x + 60 = 44

x^2 - 17x + 60 = 44

Now, to get the equation equal to zero, we can subtract 44 from both sides:

x^2 - 17x + 16 = 0

To factor this, we are looking for two numbers that multiply to 16 and add up to -17. These two numbers are -1 & -16, therefore, the factored form is:

(x - 1)(x - 16) = 0

We can use the zero product property to say x = 1 and x = 16. We can cross out the solution x = 1, because when plugged in, we get side lengths less than one. So the sole answer is x = 16.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.