SBI PO 27 June 2015 Paper

Let the width of cross-road be x metre. Area of cross road= 55 × x + 45 × x – x2
= (100x – x2) sq. metre
Area of lawn = 1911 sq. metre
⇒ 55 × 45 – (100x – x2) = 1911
⇒ 55 × 45 – 1911 = 100x – x2
⇒ 2475 – 1911 = 100x – x2
⇒100x – x2 = 564
⇒ x (100 – x) = 6 × 94
= 6(100 – 6)
⇒ x = 6 metre