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Alenkasestr [34]
3 years ago
7

The Width Of A Rectangle is The Sum Of The length and 3. The Area Of The Rectangle Is A 54 units. What is the length, in units o

f the rectangle?

Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

The length of the rectangle is 6 units.

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Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

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Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking  the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

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148, 6-1.75=5.25, then.... 625/5.25& round up.... its 148.
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