In rectangle PQRS, SP = 7 and PR = 25. What is PQ?
Understand the Problem
The question is asking for the length of side PQ in rectangle PQRS, given the lengths of sides SP and PR. Using the properties of a rectangle, we can deduce that PQ equals SP in length.
Answer
The length of side PQ is $7$.
Answer for screen readers
The length of side PQ is $7$.
Steps to Solve
- Identify Rectangle Properties
In a rectangle, opposite sides are equal in length. Thus, side PQ is equal to side SP, and side QR is equal to side PR.
- Set Known Values
We know that:
- $SP = 7$
- $PR = 25$
- Use Rectangle Properties to Find PQ
Since we established that: $$ PQ = SP $$
We can directly substitute the value of SP to find PQ: $$ PQ = 7 $$
The length of side PQ is $7$.
More Information
In a rectangle, all opposite sides are equal. Knowing this property allows us to easily determine the lengths of the sides when given just a few values. This means SP and PQ are both equal to the same measurement in rectangle PQRS.
Tips
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