Question

The vertices of a rectangle are plotted on the coordinate grid shown. A graph with the both the x and y-axes numbered starting from negative 8 with units of one up to 8. There are points plotted at negative 4, 4, at 5, 4, at negative 4, negative 4, and at 5, negative 4. What is the area of the rectangle shown? 32 square units 36 square units 64 square units 72 square units

Answer 1

The rectangle is formed by connecting the points (-4, 4), (5, 4), (-4, -4), and (5, -4).

The length of the rectangle is the distance between the points (-4, 4) and (5, 4), which is 5 - (-4) = 9 units.

The width of the rectangle is the distance between the points (-4, 4) and (-4, -4), which is 4 - (-4) = 8 units.

Therefore, the area of the rectangle is:

Area = Length x Width = 9 x 8 = 72 square units.

So, the area of the rectangle shown is 72 square units. Therefore, the answer is 72 square units.