4. Each small square in the graph paper represents 1 square unit. Find the area of each figure. Explain your reasoning.
A
B

A = 6.5

B = 10.

Step-by-step explanation:

First, remember that when we have a triangle of height H and base B, the area of the triangle is:

Area = B*H/2.

A:

First, count the complete squares:

We have 6 complete squares.

Now the diagonal part:

The diagonal connects a section of 1 by 3 squares, and the shaded area is a right triangle

Then the shaded area will be half of 1 by 3.

this is 1.5 squares.

The total area of A is:

6 + 1.5 = 7.5 squares.

B:

This is more complicated.

At the beginning, we have 4 completed squares in the top right.

At the left, we have a 2 by 4 = 8 square region, where the shaded part is only a triangle rectangle.

Then the area of this triangle is half of 8 squares:

8/2 = 4 squares.

Last, at the bottom, we have two times a 2 by 1 = 2 square region, where the shaded part is a triangle rectangle.

Then the area of each triangle is 2/2 = 1 square.

And we have two of them, so there are 2 squares here.

Then the total area is:

A = 4 + 4 + 1 + 1 = 10 squares.

answer: 2 and 1

step-by-step explanation: got this question

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)