Please help!! I need the answer!!
1 answer:
Answer:
The answer to your question is Area = 39.15 in²
Step-by-step explanation:
Data
See the picture below
Process
1.- Calculate the area of rectangle 1
Area = base x height
Area = (8.8)(6.55 - 4.3)
Area = (8.8)(2.25)
Area = 19.8 in²
2.- Calculate the area of rectangle 2
Area = (4.3)(2.25)
Area = 9.675 in²
3.- Calculate the area of rectangle 3
Area = (4.3)(2.25)
Area = 9.675 in²
4.- Calculate the total area
Area = 19.8 + 9.675 + 9.675
Area = 39.15 in²
Second way
Area 1 = 2[6.55 x 2.25]
Area 1 = 29.475 in²
Area 2 = (8.8 - 2.25 - 2.25)(6.55 - 4.3)
Area 2 = 4.3 x 2.25
Area 2 = 9.675 in²
Total area = 29.475 + 9.675
= 39.15 in²
Third way
Area 1 = (8.8 - 2.25)(6.55 - 4.3)
= (6.55)(2.25)
= 14.7375 in²
Area 2 = (4.3)(2.25)
= 9.675 in²
Area 3 = (6.55)(2.25)
= 14.7375 in²
Total area = 14.7375 + 9.675 + 14.7375
= 39.15 in²
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Answer:
The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;
/
=
/
=
/
Step-by-step explanation:
From the question diagram, we have two triangles, ΔEAF and ΔABC;
The ratio of the lengths of the sides /
=
/
∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC
Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar
Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal
We have;
/
=
/
= 50 ft. /(100 ft.) =
/
=
/120 ft.
= 120 ft. × 50 ft./(100 ft.) = 60 ft.
= 60 ft.
The distance between the pirate and the treasure, = 60 ft.