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love history [14]
3 years ago
9

Liza y Abby planean extender sus mantas en un parque para un picnic con sus amigos. El parque está lleno de gente, así que extie

nden sus mantas como se muestra en el diagrama. 5.7 pies5.7 \text{ pies} 5.7 pies 4 pies4 \text{ pies} 4 pies 2 pies2 \text{ pies} 2 pies 5 pies5 \text{ pies} 5 pies 6 pies6 \text{ pies} 6 pies Determina el área total area que Liza y Abby tienen para su picnic.

Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer:

Step-by-step explanation:

The question in English is basically find the area of the pink and blue area shown. The image is attached. This is Liza and Abby's blanket spread and we want the area of the whole shown.

<u>Solution:</u>

We want area of pink rectangle PLUS the blue region, which is a sum of lower rectangle and top triangle (if we cut it in this way).

First, area of pink rectangle:

Area = length * height

Area = 5 * 5.7

Area = 28.5

Now, the blue region, if broken down, lower portion is rectangle and upper portion is a triangle (we DISREGARD the overlapping region, of course!)

Lower Rectangle Area = length * height = 4 * 2 = 8

Upper triangle Area = 0.5 * base * height = 0.5 (4) * (6-2) = 0.5 * 4 * 4 = 8

So, blue region area = 8 + 8 = 16

<u>Total Area = 28.5 + 16 = 44.5 sq. ft.</u>

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Step-by-step explanation:

We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.

We know it's a rectangle and not a square because it is longer than wide.

We have the perimeter measurement (16 meters).

So, we can make the following equation:

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x being the width of the room, y being it's length.  A perimeter is the sum of all sides.

We also know the room is 2 meters longer than wide... so:

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If we replace y in the first equation by its value relative to x, we get:

2x + 2(x + 2) = 16 which becomes

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thus x = 3

Width: 3 meters

Length: 5 meters.

Confirms the 16 meters perimeter.

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