Answer:
The value of y given the values of x and z in the question is -734.85
Step-by-step explanation:
This is a joint variation question.
First, we are made to know that y varies jointly as x and z.
The equation for this can be written as;
y = k * x * z
Where k is the constant of proportionality.
Let’s calculate k first.
117 = k * (-3) * (-11)
33k = 117
K = 117/33 = 3.55
Now, we proceed to get what y is when x = -9 and z = 23
Let’s plug these values into the initial equation written.
y = k * x * z
We use the value of k calculated above;
y = 3.55 * (-9) * (23) = -734.85
Perimeter of rectangle = 2( length +width)
given: Perimeter=60 ft and width=20 ft
plugging these values in the formula,
60=2(20+ length)
dividing both sides by 2
30=20+length
length =30-20=10
length is 10 feet
width is 20 feet
Area of rectangle is given by:
Area = l*w
Area = 10 *20 = 200 square feet
Answer : Area of rectangle is 200 square feet.
