What is the area, in square centimeters, of the figure shown?

Step-by-step explanation:

we know that

The area of the figure is equal to the area of the whole rectangle minus the area of the smaller square

Find the area of the whole rectangle

The formula to calculate the area of rectangle is equal to

where

b is the base

h is the height

we have

substitute

Find the area of the smaller square

The formula to calculate the area of the square is equal to

where

b is the length side of the square

we have

substitute

Find the area of the figure

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3