Question

If the length of a rectangle is decreased by 2 cm and the breadth is increased by 2cm, then the areas is increased by 20cm^2. If the length is increased by 1 cm and breadth is decreased by 2 cm, then the areas is reduced by 38 cm^3. Find the length and breadth of rectangle.​

Answer 1

Answer:

The length of the rectangle is 10 cm and it's breadth is 16 cm

Given:

• If the length of a rectangle is decreased by 2 cm and the breadth is increased by 2cm, then the areas is increased by 20cm^2.

• 2. If the length is increased by 1 cm and breadth is decreased by 2 cm, then the areas is reduced by 38 cm^3.

To find:

• The length and breadth of the rectangle.

Solution:

Let the length and breadth of the rectangle be x cm and y cm respectively.

According to the first condition.

(x-2)(y+2)=xy+20

xy+2x-2y-4=xy+20

4(x-y-1)=20

x-y-1=20/4

x-y=5+1

x-y=6...(1)

According to the second condition.

(x+1)(y-2)=xy-38

xy+y-2x-2=xy-38

y-2x=-38+2

-2x+y=-36...(2)

Add equation (2) from equation (1),

x-y=6

+

2x+y=-36

_________

3x=30

x=10

Substitute x=10 in equation (1),

10-y=6

-y=6-10

-y=-16

y=16

The length of the rectangle is 10 cm and it's breadth is 16 cm

Answer 2

Step-by-step explanation:

Here you go............ Hope it helps