Two square rooms have a total floor of 89m^2.one room is 3m longer each way than the other, find the dimensions of the rooms

Length of smaller square room is 5 m.

Length of bigger square room is 8 m.

Step-by-step explanation:

Sum of area of two squares room =

Let the length of smaller square room be = x meter

Let the length of bigger square room be = x+3 meter

Are of square =

Area of bigger square room = A =

Area of smaller square room= A'=

x= -8, 5

Rejecting the negative value.

x = 5 m

Length of smaller square room = 5 m

Length of bigger square = (5 + 3 )m= 8 m

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