Answer:

As = 100cm²

Step-by-step explanation:

Given:

let x be the side of square

Length of the rectangle = x + 1

Area of rectangle (Ar) = 110cm²

Ask: Area of square (As)

Sol'n:

Ar = Lx

110 = x(x + 1)

110 = x² + x

x² + x - 110 = 0

(x + 11)(x - 10) = 0

(x + 11) = 0

x =  -11

(x - 10)  = 0

x = 10

say x = 10    ;     side of square

L = x + 1

L = 10 + 1

L =  11

checking:

Ar = Lx

110 = 10( 11 )

110 = 110, ok

Area of square (As) = x²

As = 10²

As = 100

iyan na po angle sagot Sana makatulong.