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Solve each of the following equations for the given values. Show ALL solution steps.
1. A = bh for h, if b = 4 and A = 28
2. A = πr2 for A, if r = 5.
3. A = bh for h if b = 15 and A = 45. h=?
4. A = bh for h if b = 10 and A = 80. h=?
5.P = 2l + 2w for l if w = 4 and P = 18. l=?

1 Answer

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Answer:

1.h=7; 2. A=78.5; 3. h=3; 4. h=8; 5. I=5.

Explanation:

1. A = bh for h, if b = 4 and A = 28

So 28=4h then we divided both side by 4 to get the value of h , h=7.

2. A = πr2 for A, if r = 5.

So A=3.14×25=78.5.

3. A = bh for h if b = 15 and A = 45. h=?

So 45=15h then we divided both side by 15 to get the value of h , h=3.

4. A = bh for h if b = 10 and A = 80. h=?

So 80=10h then we divided both side by 10 to get the value of h , h=8.

5.P = 2l + 2w for l if w = 4 and P = 18. l=?

So 18=2I + 2(4) =18-8=2I 10=2l then to get the value of I divided both side by 2, I=5.

User Stephen Donecker
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