Two questions ?

1. the figure shows the dimensions of a piece of scenery that will be painted to represent a mountain.
what is the area of this piece of scenery?
enter your answer as a decimal in the box. round only your final answer to the nearest tenth.

2. what is the area of △pqr
enter your answer as a decimal in the box. round only your final answer to the nearest tenth.

The area of triangle PQR is

Step-by-step explanation:

we know that

The area of a triangle is equal to

see the attached figure to better understand the problem

we have

Find the length side of segment PS

In the right triangle PSR

Solve for PS

we have

substitute

Find the area of the triangle PQR

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

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answer:   {x = -1/2 ,   y = -1