Question

If the area of a rectangle is ‘xy’ where x is the length and y is the breath. If the length of the rectangle is increased by 5 units and breadth is decreased by 3 units, the new area of the rectangle will be ​

Answer 1

Step-by-step explanation:

length is given = x

Breadth is also given = y

length is increased by 5 units

Breadth is decreased by 3 units

therefore, length=x+5

Breadth= y-3

According to the question:

area of rectangle= L×B

xy = x+5 × y-3.

Answer 2

Step-by-step explanation:

GivEn:

• Length of rectangle is x
• Breadth of rectangle is y
• Length of rectangle increased 5 units
• Breadth of rectangle decreased 3 units

New dimensions of rectangle:

• We have given Length of rectangle is x and increased by 5 units. so the new length of rectangle = x + 5
• We have given Breadth of rectangle is y and Breadth decreased by 3 units. so the new breadth of rectangle = y - 3

To finD:

Area of rectangle after increased dimensions.

Solution:

• We have given Length of rectangle = x +5
• Breadth of rectangle = y - 3

As we know that,

Area of rectangle = Length × Breadth

So, by this formula we can find the area of rectangle.

Substituting value in formula :

Area of rectangle = Length × Breadth

⇒ Area of rectangle = ( x + 5 ) × ( y - 3 )

⇒ Area of rectangle = x ( y - 3 )+5 ( y - 3 )

⇒ Area of rectangle = xy - 3x + 5y - 15

⇒ Area of rectangle = xy - 3x + 5y - 15