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.
Answers
Total area covered and that is 44.5 ft²
Step-by-step explanation:
Consider the are of the pink blanket "A" =5\times 5.7 = 28.5 m^2
The area of a rectangle is A = l\times w.
Now we have area of the pink blanket which is 28.5.
The area of blue blanket A= 6 x 4 = 24 m^2
Area of a triangle: A= 1/2 x (base x height)
= 1/2 x (4 x 4)
= 8 (Area of both blankets)
Now the total area = Pink blanket x Blue blanket
= 28.5 x (24 - 8)
= 44.5 ft²
Now, pink blanket 28.5 x blue blanket 24 minus 8 is giving us the number that is referring to total area that is covered and that is 44.5 ft²
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Answer:
44.5
Step-by-step explanation:
\begin{aligned} \text{Area of the } \blueD{\text{vertical blanket}} &= \text{length} \cdot \text{width} \\\\ &= 4 \cdot 6 \\\\ &= \blueD{24 \text{ ft}^2}\\\\ \end{aligned}
Area of the vertical blanket
=length⋅width
=4⋅6
=24 ft
2
Hint #22 / 5
\begin{aligned} \text{Area of the } \maroonD{\text{diagonal blanket}} &= \text{length} \cdot \text{width} \\\\ &= 5 \cdot 5.7 \\\\ &= \maroonD{28.5 \text{ ft}^2}\\\\ \end{aligned}
Area of the diagonal blanket
=length⋅width
=5⋅5.7
=28.5 ft
2
Hint #33 / 5
\begin{aligned} \text{Area of the } \purpleD{\text{overlapping triangle}} &= \dfrac12 \cdot \text{base} \cdot \text{height} \\\\ &= \dfrac12 \cdot 4 \cdot 4 \\\\ &= \purpleD{8 \text{ ft}^2}\\\\ \end{aligned}
Area of the overlapping triangle
=
2
1
⋅base⋅height
=
2
1
⋅4⋅4
=8 ft
2
Hint #44 / 5
Now we can combine the total area of the two blankets and subtract the overlapping amount from the total.
\blueD{24} + \maroonD{28.5} - \purpleD8 = 44.5 \text{ ft}^224+28.5−8=44.5 ft
2
start color #11accd, 24, end color #11accd, plus, start color #ca337c, 28, point, 5, end color #ca337c, minus, start color #7854ab, 8, end color #7854ab, equals, 44, point, 5, start text, space, f, t, end text, squared
Hint #55 / 5
Liza and Abby have a total area of 44.5 \text{ ft}^244.5 ft
2
44, point, 5, start text, space, f, t, end text, squared for their picnic.