The length of the rectangle garden is three feet less than twice its width. if the perimeter of the garden is 42 feet, what is its length? ( 10marks)

13 feet

Step-by-step explanation:

You are given that the perimeter, P, of the rectangle is 42 meters (i.e., P = 42). Also, the length, L, of the rectangle is 3 meters less than 2 times the width, W (i.e., L = 2W - 3).

Recall that the perimeter, P, of a rectangle is given by the following formula:

    P = 2W + 2L

Substituting 2W - 3 for L, we arrive at the following:

   P = 2W + 2(2W - 3)

   P = 2W + 2·2W + 2·-3  

   P = 2W + 4W - 6

   P = 6W - 6

Since we were given that  P = 42, then

    42 = 6W - 6

    42 + 6 = 6W - 6 + 6

    48 = 6W

    48/6 = 6W/6

    8 = W

Therefore, the width of the rectangle is 8 meters. Use this value to solve for the length:

    L = 2W - 3

    L = 2·8 - 3

    L = 16 - 3

    L = 13

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'.