Question

The length of a rectangle is 7 cm more than its width. If
length is decreased by 4 cm and the width is increased
by 3 cm,then the area of this new rectangle will be
equal to the area of the original rectangle. What will be
the perimeter of the original rectangle?​

Answer 1

Answer:

Step-by-step explanation:

CASE1

let width=x

length=x+7

so area of rectangle=x(x+7)

                                 =x²+7x   ---------------(1)

CASE2

new length=x+7-4

                  =x+3

new breadth=x+3

so ,

area of rectangle=(x+3)²

                           =x²+9+6x    -----------------(2)

ATQ, (1)=(2)

x²+7x=x²+9+6x

x=9

breadth=9cm

length=x+7=16

so perimeter=2(l+b)

                    =2(9+16)

                    = 2×25

                    =50 cm

so the perimeter of original rectangle is 50m

plsssssssss mark brainliest