Area and Perimeter practice question for Railways, SSC. Review the correct answer and explanation, then continue with related practice below.
A rectangular field measures 90 m × 60 m. A path of uniform width is constructed inside along all four sides. If the area of the path is 1400 m², find the width of the path.
एक आयताकार मैदान की माप 90 m × 60 m है।
उसके अंदर चारों ओर समान चौड़ाई का रास्ता बनाया गया है।
यदि रास्ते का क्षेत्रफल 1400 m² है, तो रास्ते की चौड़ाई ज्ञात कीजिए।
Answer and explanation are free to read — no sign-in required.उत्तर और व्याख्या पढ़ने के लिए साइन-इन आवश्यक नहीं है।
Correct Answerसही उत्तर
B. 5 mB. 5 मीटर
Explanationव्याख्या
Total area = 90 × 60 = 5400 m².
Inner area = 5400 − 1400 = 4000 m².
For width x, inner dimensions are (90 − 2x) and (60 − 2x).
Thus (90 − 2x)(60 − 2x) = 4000. x = 5 satisfies this.
कुल क्षेत्रफल = 5400 m²।
अंदर का क्षेत्रफल = 4000 m²। (90 − 2x)(60 − 2x) = 4000 से x = 5 m मिलता है। ---
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