0 votes
376 views
in Mathematics Form 1 by

The length and breadth of a rectangle are given as (6x - 1) and (x -2) metres respectively. If the length and breadth are each increased by 4 metres, the new area is three times that of original rectangle.

  1. Form an equation in x and solve it. 
  2. Find the dimensions of the original triangle 
  3. Express the increase in area as a percentage of the original area. 

1 Answer

0 votes
by
  1. Form an equation in x and solve it. 
    Dimensions of the new rectangle
    (6x +3) and (x + 2)
    (6x + 3) (x +2) = 6x2 + 15x + 6
    = 6x2 + 15x +6 = 3 (6x - 1) (x- 2)
    = 6x2 + 15x + 6 = 18x2 – 39x + 6
    12x2 – 54x = 0
    6x(2x -9) = 0
    2x = 9 x =4.5
  2. Find the dimensions of the original triangle 
    Length = 26m
    Breadth = 2.5m
    Original area
    26 x 2.5 = 65m2
     
  3. Express the increase in area as a percentage of the original area. 
    New area
    30 x 6.5 = 195m2
    % increase
    = 195-6565×100%
    = 200%

Related questions

Welcome to EasyElimu Questions and Answers, where you can ask questions and receive answers from other members of the community.

6.4k questions

9.6k answers

6 comments

590 users

...