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प्रश्न
Construct a square whose perimeter is 20 cm.
भौमितिक रेखाचित्रे
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उत्तर
Given: Perimeter P = 20 cm; the figure to construct is a square all four sides equal.
Step-wise calculation:
1. For a square, P = 4 × side.
2. Side = `P/4`
= `20/4`
= 5 cm
3. Construction (straightedge and compass; follow the standard method for “construct a square when a side is given”):
Draw segment PQ = 5 cm.
At P construct a 90° ray (PM) and at Q construct a 90° ray (QN) on the same side of PQ.
On PM mark point S so that PS = 5 cm. On QN mark point R so that QR = 5 cm.
Join S and R to complete square PQRS.
The constructed square PQRS has side 5 cm and perimeter 4 × 5 = 20 cm, as required.
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