the length and the breadth of a rectangle are in the ratio of 3 : 2 respectively . if the sides of the rectangle are extended on each side by 1 metre , the ratio of length to breadth becomes 10 : 7 . find the area of the original rectangle in square metres .
let the length and breadth be l and b respectively . l ⁄ b = 3 ⁄ 2 or l = 3 ⁄ 2 b . . . . . ( i ) l + 1 / b + 1 = 10 / 7 or 7 l - 10 b = 3 . . . . . ( ii ) from eq . ( i ) 10.5 b – l 0 b = 6 or , 0.5 b = 3 or , b = 6 and l = 9 area = l × b = 6 × 9 = 54 m 2 answer e
rectangle_area(subtract(7, 1), subtract(10, 1))