Subject
Quantitative Aptitude
Topic
Areas & Volumes
ABCD is a rectangle. If its length is decreased by 5 meter and the width is increased by 3 meter, the area decreases by 9 square meter. If its length is increased by 3 meter and the width is increased by 2 meter, the area increases by 67 square meter. What is the width of ABCD?
ABCD is a rectangle. If its length is decreased by 5 meter and the width is increased by 3 meter, the area decreases by 9 square meter. If its length is increased by 3 meter and the width is increased by 2 meter, the area increases by 67 square meter. What is the width of ABCD?
ক)
9 meterখ)
17 meterগ)
18 meterঘ)
22 meterঙ)
None of theseExplanation
ধরি আয়তক্ষেত্রের দৈর্ঘ্য = x মিটার আয়তক্ষেত্রের প্রস্থ = y মিটার ১ম শর্তমতে (x - 5)(y + 3) = xy - 9 ⇒ xy - 5y + 3x - 15= xy - 9 ⇒ 3x - 5y = 6 ......................(1) ২য় শর্তমতে (x + 3)(y + 2) = xy + 67 ⇒ xy + 3y + 2x + 6 = xy + 67 ⇒ 2x + 3y = 61 ........................(2) (1) × 2 - (2) × 3 6x - 10y - 6x - 9y = 12 - 183 ⇒ -19y = - 171 ⇒ y = 171/19 ⇒ y = 9 অতএব আয়তক্ষেত্রের প্রস্থ = 9 মিটারRelated questions
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