Find the area of the polygon wxyz with its vertices at w(–3, –2), x(–3, 5), y(2, 5), and z(2, –2).

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.

The distance formula

Using the above formula we get,

The length of opposing sides are equal.

Using the Pythagoras theorem, the length of diagonal WY and XZ are

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

Where l is length and w is width.

The area of given polynomial is

Therefore the area of the polynomial is 35 square unit.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.