Question

The length of the rectangle excceds its breath by 7 cm if the lenght is decrease by 4 and breath is increase by 3 the area of thw new rectangle is same as the area of orignal one find lenght and breath

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Let the original length and breadth be x+7 and x respectively

The length and breadth of the new rectangle will be  x+3 and x+3 respectively

Area of the original rectangle = x+7 X x

= x2 + 7x

Area of the new rectangle = x+3 X x+3

= x2 +3x +3x +9

= x2 + 6x + 9

Given area of the original rectangle = area of the new rectangle

x2 + 7x = x2 + 6x + 9

x2 - x2 = 6x - 7x + 9

0 = -x + 9

-x = -9

x = 9

Length = x + 7 = 16 cm

Breadth = x = 9 cm