Question

malik considers the enlargement of the trapezoid.
image of two trapezoids: small trapezoid with a side labeled 10 cm and a base labeled 18 cm; large trapezoid with the corresponding side labeled 25 cm and the corresponding base labeled x cm, with not drawn to scale below the large trapezoid
what is the correct cross product that he should use to solve for the missing dimension?
options:
(10)(25) = 18x
(10)(18) = 25x
(18)(25) = 10x
(18)/10 = 18x

Explanation:

Step1: Identify the proportion

Since it's an enlargement (similar figures), the ratios of corresponding sides are equal. So \(\frac{10}{25}=\frac{18}{x}\).

Step2: Cross - multiply

Cross - multiplying the proportion \(\frac{10}{25}=\frac{18}{x}\) gives \(10\times x = 18\times25\), which is \(10x=(18)(25)\) or \((18)(25)=10x\).

Answer:

\( (18)(25) = 10x \) (Option C: \( (18)(25) = 10x \))