Question

Ive worked out a bit, i just need help finishing it off. Will reward

Answer 1

Answer:

width = 40 cm

Step-by-step explanation:

Since the pentagons are similar then the ratios of corresponding sides are equal, that is

$\frac{4x}{x}$ = $\frac{48}{x+2}$ ( cross- multiply )

4x(x + 2) = 48x ← distribute left side

4x² + 8x = 48x ( subtract 48x from both sides )

4x² - 40x = 0 ← factor out 4x from each term on left side

4x(x - 10) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x - 10 = 0 ⇒ x = 10

However, x > 0 then x = 10

Thus width = 4x = 4 × 10 = 40 cm

Answer 2

Answer:

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