4. You have 36 pairs of running shoes. Let x be the

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

4 0

Answer:

Nikes: 24 pairs
Adidas: 12 pairs

Step-by-step explanation:

The system of equations can be written ...

x + y = 36

x = 2y

The system can be solve by substituting for x:

(2y) +y = 36

y = 12 . . . . . . divide by 3

x = 2(12) = 24

There are 24 pairs of Nikes and 12 pairs of Adidas.

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This simply means the line Am = AD - MD = 8in.

We have the height of the triangle needed to solve for the area of the triangle. Area of Triangle = 1/2×b×h
Where b is length base of the triangle and h is the length of height of the triangle.
We still need b to find the Area.

Note also that two opposite sides of parallelograms are equal. This implies that line DC = line EB which is equal to 14in.
In the third image, you can see this. Half the length of the side of the parallelogram is needed. This means 14/2 = 7in.

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Total Area of all Triangles = 28×3 = 76in

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Area of parallelogram EBCD = bh

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Hence from the diagram,
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Area of parallelogram EBCD is 140in.

Total Area of both Parallelograms will be 140 ×2= 280in since both are identical.

To find the Total Area of the tile pattern add the area of the triangles and the Parallelograms. This is 76 + 280 =356in.

Your answer is 356in.