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Liono4ka [1.6K]
3 years ago
8

What is the missing length??

Mathematics
1 answer:
amid [387]3 years ago
4 0

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

(15 + x) : (12 + 8) = x : 8

15 + x : 20= x : 8

Convert to fraction

\frac{15 + x}{20} = \frac{x}{8}

Cross Multiply:

(15 + x)*8 = 20 * x

120 + 8x = 20x

Collect Like Terms

20x - 8x = 120

12x = 120

Solve for x

x = \frac{120}{10}

x = 10

<em>The length of the missing side is 10</em>

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