l=x+yw=x+y

The area of a rectangle is equal to the length times the width.

(length)⋅(width)

Substitute the values of the length l=x+y and width w=x+y into the formula for the area of a rectangle.

(x+y)⋅(x+y)

Apply the distributive property.

x(x+y)+y(x+y)

Apply the distributive property.

x⋅x+xy+y(x+y)

Apply the distributive property.

x⋅x+xy+yx+y⋅y

x⋅x+xy+yx+y⋅y

Simplify each term.

Multiply x by x.

x2+xy+yx+y⋅y

Multiply y by y.

x2+xy+yx+y2

x2+xy+yx+y2

Add xy and yx.

Reorder y and x.

x2+xy+xy+y2

Add xy and xy.

x2+2xy+y2

x2+2xy+y2

x2+2xy+y2

Find the Area rectangle (x+y)(x+y)