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Anna [14]
3 years ago
9

A school flag consists of three rectangular sections that each have a different color.

Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer:

Area =\frac{10x + 15}{2} in both cases

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have the following given parameters

Green Section: Dimension: x by 2

Orange Section: Dimension: 2 by 1\frac{1}{2}

Purple Section: Dimension: 3 by (x + 1\frac{1}{2})

Solving (a): Area of the flag as a sum of each section

We simply calculate the area of each section.

Area = Length * Width

For the green section;

Area =  x * 2

Area = 2x

For the orange section

Area = 2  * 1\frac{1}{2}

Area = 3

For the purple section

Area = 3 * (x + 1\frac{1}{2})

Area = 3 * (x + \frac{3}{2})

Area = 3x + \frac{9}{2}

Total Area = Sum of the above areas

Area = 2x + 3 + 3x + \frac{9}{2}

Collect Like Terms

Area = 2x  + 3x+ 3 + \frac{9}{2}\\

Area = 5x+  \frac{6+9}{2}

Area = 5x+  \frac{15}{2}

Area =\frac{10x + 15}{2}

Solving (b): Area of the flag as a product

From the attachment,

Length = 2 + 3

Length = 5

Width = x + 1\frac{1}{2}

Area = Length * Width

Area = 5(x + 1\frac{1}{2})

Area = 5(x + \frac{3}{2})

Area = 5x + \frac{15}{2}

Take LCM

Area = \frac{10x + 15}{2}

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