Question

Rectangles ABCD and PQRS are similar to each other. If AB= 25 units, PQ =

5 units, AD = 20 units, find the measure of PS.

Answer 1

• 4 units

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We are given that rectangles ABCD and PQRS are similar.

Also given that:

• AB = 25 units,
• PQ = 5 units,
• AD = 20 units

Use equal ratios of corresponding sides:

• AB / PQ = AD / PS

Substitute values and find the length of PS:

• 25 / 5 = 20 / PS
• 5 = 20/PS
• PS = 20/5
• PS = 4

Therefore, the measure of PS is 4 units.