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Leona [35]
4 years ago
11

Find the dimensions of a rectangle whose area is 221 cm2 and whose perimeter is 60 cm. (enter your answers as a comma-separated

list.)
Mathematics
1 answer:
Pavel [41]4 years ago
7 0
60 = 2 ( length + width ) 

<span>30 = length + width </span>

<span>Let length be = x and width = y </span>

<span>x+y = 30 </span>

<span>xy = 209 </span>

<span>4xy = 836 </span>

<span>( x+ y)^2 = 900 </span>

<span>( x+y)^2 - 4xy = 900-836 = 64 </span>

<span>( x-y)^2 = 64 </span>

<span>x- y = 8 </span>

<span>x+y = 30 </span>

<span>ADD 2x =38 </span>

<span>x = 19 </span>

<span>y = 11 </span>

<span>ANSWER 19cm X 11cm</span>
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What is the answer? Some please help!!
Aleksandr [31]

Answer:

Area of the figure = 200 cm²

Step-by-step explanation:

Area of rectangle A = Length × Width

                               = 5×9

                               = 45 cm²

Area of rectangle B = 5 × 11

                               = 55 cm²

Area of rectangle C = 5 × 9

                               = 45 cm²

Area of rectangle D = 5 × 7

                               = 35 cm²

Area of rectangle E = 10 × 2

                                = 20 cm²

Total area of the figure = 45 + 55 + 45 + 35 + 20

                                    = 200 cm²

4 0
3 years ago
Write a complete two-column proof for the following information given
rosijanka [135]

   <u>Statement </u>                  <u>Reason</u>        

1. AB = x + 16                 1. Given

  BC = 4x + 11

   AC = 77

2. AB + BC = AC             2. Segment Addition Postulate

3. x + 16 + 4x + 11 = 77     3. Substitution Property

4. 5x + 27 = 77                 4. Simplification <em>(added like terms)</em>

5. 5x = 50                         5. Subtraction Property of Equality

6. x = 10                             6. Division Property of Equality

7. AB = 10 + 16                   7. Substitution Property

8. AB = 26                          8. Simplification <em>(added like terms)</em>

5 0
4 years ago
You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi
irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

tan(52^o)=\frac{AC}{50} ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

AC=tan(52^o){50}

AC=64\ ft

step 2

In the right triangle ABE

Find the length side AB

tan(21^o)=\frac{AB}{50} ---> by TOA (opposite side divided by the adjacent side)

solve for AB

AB=tan(21^o){50}

AB=19.19\ ft

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

64-19.19=44.81\ ft

5 0
3 years ago
15 points<br>Steps needed
morpeh [17]
It is not a negative so it is 10 because the number can't be big
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3 years ago
Nora biked 8 miles north from her school to a park. Nora's brother rode a bus 15 miles
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Park and the music store
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