HURRY AND ANSWER

Liza and Abby plan to spread out blankets at a park for a picnic with some friends. The park is crowded, so they end up overlapping the blankets as is shown in the diagram. Find the total area that Liza and Abby have for their picnic.

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HURRY AND ANSWER Liza and Abby plan to spread out blankets at a park for a picnic with some friends The park is crowded so they end up overlapping the blankets class=

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Answer:

The total area covered by Liza and Abby is  44.5 ft².

Step-by-step explanation:

Area of a rectangle is

[tex]A=l\times w[/tex]

The area of pink blanket is

[tex]A=5\times 5.7=28.5[/tex]

Therefore the area of pink blanket is 28.5 ft².

The area of blue blanket is

[tex]A=6\times 4=24[/tex]

Therefore the area of blue blanket is 24 ft².

The area of a triangle is

[tex]A=\frac{1}{2}\times base\times height[/tex]

The common area is

[tex]A=\frac{1}{2}\times 4\times 4=8[/tex]

Therefore the common area of both blanket is 8 ft².

The total area covered by Liza and Abby is

[tex]28.5+24-8=44.5[/tex]

Therefore the total area covered by Liza and Abby is  44.5 ft².

If Liza and Abby plan to spread out blankets at a park with some friends. The total area is: 44.5 ft².

Total area

Area of a rectangle= l× w

First step

Area (pink blanket)=5×5.7

Area (pink blanket) =28.5

Area (Blue blanket) = 6 x 4

Area (Blue blanket)= 24m²

Second step

Area of a triangle= 1/2 x (base x height)

Area of a triangle = 1/2 x (4 x 4)

Area of a triangle=8

Third step

Total area= 28.5 x (24 - 8)

Total area= 44.5 ft²

Therefore the total area is: 44.5 ft².

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