Two square rooms have total floor area of 89cm².One room is 3m longer each way than the other, Find the dimension of the two rooms

5 m

8 m

Step-by-step explanation:

Area of square = s² ; s = side length

Let the area of each room equal to x and y

x + y = 89cm²

If x = smaller room

y = x + 3 in dimension

Hence,

x² + (x + 3)² = 89

(x +3)(x +3) = x² + 3x + 3x + 9

x² + x² + 3x + 3x + 9 = 89

2x² + 6x + 9 = 89

2x² + 6x - 80 = 0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x + 8) - 5(x + 8) = 0

x + 8 = 0 ;

x - 5 = 0

x = - 8 or x = 5

Dimension can't be negative :

So, x = 5

Samller square = x = 5

Larger square = x + 3 = 5 + 3 = 8

idk sry

step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer