PLEASE HELP, WILL MARK BRAINLIEST!! The diagram shows the dimensions of a deck. A student finds the area by adding 16 ft^2 + 48 ft^2. Is the student correct? Explain your reasoning.

The student is wrong, the total area = 16 ft² + 20 ft²

Step-by-step explanation:

See the attached figure.

The shown figure is a composite area of:

1) A rectangle with length of 8 ft and width of 4 ft

2) A triangle of base (8 - 4 = 4ft) and height of ( 6 - 4 = 2 ft)

The area of the rectangle = length x width = 8 * 4 = 32 ft²

The area of the triangle = 0.5 base x height = 0.5 * 4 * 2 = 4 ft²

So, the total area = 32 + 4 = 36 ft²

OR

The figure can be consists of :

1) A square of side length of 4 ft

2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)

So,

The area of the square = 4 * 4 = 16 ft²

The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²

So ,the total area = 16 + 20 = 36 ft²

So,

The student is distracted, he finds the area of total rectangle of sides 8 and 6 ft, he should subtract from it the area of the trapezoid of height 2 ft and bases of 4 and 8 ft

So, the student is wrong

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!