Question

Find the area of rectangle where x'is length and'y'is breadth.If the length of rectangle is increased by 5 units and breadth is decreased by 3 units the new area of rectangle will be__________​

Answer 1

Answer:

Area of new rectangle = xy - 3x + 5y - 8

Step-by-step explanation:

Let the length be = x

Let the Breadth be = y

Length of new Rectangle = x + 5

Breadth of new Rectangle = y - 3

Area of Rectangle = L × B

According to the question, our equation will be

(x + 5) × (y - 3)

[x (y - 3)] + [5 (y - 3)]

x × y - x × 3 + 5 × y - 5 × 3

xy - 3x + 5y - 8

Since there are no like terms, our answer will be xy - 3x + 5y - 8

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Answer 2

To find : area of rectangle .

Given : length $= x$ units and breadth $= y$ units  

Solution :

• According to question we are given that length and breadth of rectangle are $x$ and $y$ units respectively. We have to find area of rectangle .  

• As per given data we are given that length of rectangle is increased by $5$ units and breadth is decreased by $3$ units then , length will be $(x + 5 )\ cm$ and breadth will be $(y-3 )\ cm$ .
• To find area we use following formula -  

        Area of rectangle $=l \times b$

• Substituting the values we get,

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

                                     $(xy -3x + 5y -15)\ cm ^{2}$  

Hence, new area of rectangle will be $= (xy -3x + 5y -15)\ cm ^{2}$ .