You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Polynomial

The length of...

Question

The length of a rectangle is twice its breadth .if it's length is decreased by 5 cm and the breadth is increased by 5cm,the area of the rectangle is increased by 75 cm2.the length of the rectangle is:

Open in App

Solution

Let breadth of the rectangle = x
then length = 2x
Area of the rectangle = length x breadth = 2xx = 2x²

if length = 2x-5, and beadth = x+5
Area of rectangle = length x breadth = (2x-5)(x+5)

By question,
(2x-5)*(x+5) - 2x²=75
2x²+ 10x - 5x - 25 -2x²= 75
5x = 100
x = 20

therefore breadth = 20cm
**length = 2x =2*20 = 40cm** Ans.

Suggest Corrections

Similar questions

Q. The length of a rectangle is

5 c m

less than twice its breadth. If the length is decreased by

5 c m

and breadth is increased by

2 c m

, the perimeter of the resulting rectangle will be

74 c m

. Find the length and breadth of the original rectangle.

Q. The area of rectangle reduced by

160 m^{2}

, if its length is increased by

5 c m

and breadth is reduced by

4 c m

. However, if length in decreased by

10 c m

and breadth increased by

2 c m

, then the area is decrease by

100 m^{2}

. Find the dimensions of the rectangle.

When the length and width of a rectangle are increased by 5 cm each, its area increases by 100 cm². However, if the length of the rectangle is increased by 1 cm and its breadth is decreased by 1 cm, then the area of the rectangle decreases by 6 cm².

What is the original area of the rectangle?

Q. The length of a rectangle is

3

times its breadth, if the length is decreased by

3

cm and the breadth increased by

5

cm the area of the rectangle is increased by

57

c m^{2}

The perimeter of the rectangle is

The length of a rectangle exceeds the breadth by 6cm.If the length is increased by 3cm and breadth decreased by 2cm the area is the same.Find length and breadth of the rectangle.

Join BYJU'S Learning Program