Victoria correctly determined the area of this parallelogram by adding the areas of the rectangle and triangles. How did Victoria determine the area?

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Victoria determined that the area of the rectangle is
m² and that the area of each triangle is
m². She added the areas of the rectangle and the two triangles for a total area of

56 m²

16 m²

88 m²

Step-by-step explanation:

The formula for the area of a rectangle is:

A=L×W (area=length × width)

A=7×8

A=56m²

The formula for the area of triangle is:

1/2×b×h (1/2 × base × height)

A=1/2×4×8

A=2×8

A=16m²

For the total area you will now add the area of each shape. We will multiply triangle area by 2 because there is 2 triangles.

A=56+2(16)

A=56+32

A=88m²

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74