The length of a rectangle is greater than the breadth by 18cm. If both length and breadth are increased by 6 cm, then area increases by 168cm square. Find the length and breadth of the rectangle
Given : The length of a rectangle is greater than the breadth by 18cm.
If both length and breadth are increased by 6cm , then area is increases by 168cm2
To do: Find the breadth of the rectangle
Solution
Let the breadth of the rectangle = x cm
Length of the rectangle = $x + 18$ cm
Area of the rectangle = $L \times B = (x + 18) . x$
=$ x(x+ 18)$
length and breadth increased by 6cm each and area increases by 168 sq cm
$(x + 18 + 6)(x + 6) = x(x + 18) + 168$
$(x + 24)(x + 6)= x^2 + 18x + 168$
$x^2 + 30x + 144 = x^2 + 18x + 168$
$30x - 18x = 12x = 168 - 144 = 24$
$12x = 24$
$x = \frac{24}{12} = 2; x = 2$
So length and breadth of the rectangle are
2 + 18, 2 or 20 cm and 2 cm respectively
Related Articles The breadth of a rectangle is 4 cm less than its length if the length is increased by 4 cm and the breadth is decreased by 1 cm, the area of the rectangle is increased by $40\ cm^2$. Find the length and breadth of the rectangle.
If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. If, however the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. Find the area of the rectangle.
The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 minutes and breadth is increased by 3 units if we increase the length by 3 units if we increase a length by three years and the breadth by 2 units the area increases 67 square then find the dimension of the rectangle. (By elimination method)
The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.
In a rectangle, if the length is increased by 3 metres and breadth is decreased by 4 metres, the area of the rectangle is reduced by 67 square metres. If length is reduced by 1 metre and breadth is increased by 4 metres, the area is increased by 89 sq. metres. Find the dimensions of the rectangle.
The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. The area remains unaffected if the length is decreased by 7 metres and breadth is increased by 5 metres. Find the dimensions of the rectangle.
The length and breadth of a rectangle are in the ratio 5:3. If the perimeter is 80 cm, find the length and breadth of rectangle.
,p>If the length and breadth of a rectangle are doubled, by what percentage is it\'s area increased
The breadth of the rectangle is $\frac{3}{4}$th of its length and the perimeter of rectangle is 140 cm. Find the length and breadth of the rectangle.
Find the area and perimeter of the rectangle, if length $=46 cm$ and breadth $=25 cm$
If the length and breadth of a rectangle are 9.2 cm and 1.5 cm respectively then the area of the rectangle will be?
Find the area of a rectangle whose length is 36 cm and breadth 15 cm.
Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.
The length of a rectangle is 16 cm. If the perimeter of the rectangle is 60 cm then find the breadth of the rectangle.
If the perimeter of rectangle is 120 cm and it's length is 40 cm. Find the breadth of rectangle?
Kickstart Your Career
Get certified by completing the course
Get Started