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vaieri [72.5K]
3 years ago
7

a rhombus has an area of 60 square centimeters. if the length of one diagonal is 12 cm, find the length of the other

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

10 cm

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \frac{1}{2} × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here A = 60, d₁ = 12, thus

60 = 0.5 × 12 × d₂ = 6 d₂ ( divide both sides by 6 )

d₂ = 10

The other diagonal is 10 cm

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x^2 +  - 4x +  - 5 = 0

Reorder the terms:
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Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 +  - 1x) equal to Zero and attempt to solve.

Simplifying:
- 1 +  - 1x = 0

Solving:
- 1 +  - 1x = 0
Move all terms containing x to the left, all other terms to the right

Add 1 to each side of equation:
- 1 + 1 +  - 1x = 0 + 1

Combine Like Terms: 0 + 1 = 1
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Divide each side by - 1
x =  - 1

Simplifying:  x =  -  1


Subproblem 2: Set the factor (5 +  -  1x) equal to Zero attempt to solve

Simplifying:
5 +  - 1x = 0

Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 +  - 5  +  - 1x = 0 + 5

Combine Like terms:  5 +  - 5 = 0
0 +  - 1x = 0 +  - 5
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Combine Like Terms: 0 +  - 5 = - 5
- 1x =  - 5

Divide each side by - 1
x = 5

Simplifying:
x = 5

Solution:
x = { - 1,  5}





Answer when factored:
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<u>Answer</u>

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1. We read the problem and determined that in order to solve the problem we would need to divide.

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3. We came to the conclusion that 4.5 days would be the answer.

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